Author: "Departamento de Matematicas" - Searchworks@Jio Institute Digital Library Search Results

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183 results on '"Departamento de Matematicas"'

1. Sums of Power Free Integers on Progressions

Author: Calderon, C.; Universidad Del Pals Vasco, Departamento De Matematicas, E-48080, Bilbao-Espana, De Velasco, M. J.; Universidad Del Pals Vasco, Departamento De Matematicas, E-48080, Bilbao-Espana, Calderon, C.; Universidad Del Pals Vasco, Departamento De Matematicas, E-48080, Bilbao-Espana, and De Velasco, M. J.; Universidad Del Pals Vasco, Departamento De Matematicas, E-48080, Bilbao-Espana
Abstract: In this paper we investigate the asymptotic behaviour of the number of representations of an integer n as sum of power free integers on an arithmetic progression and its summatory function.
Published: 1999

2. Drift-free simulation and libor market models

Author: Fernández Pérez, José Luis, Vázquez, Carlos, Universidade da Coruña Departamento de matematicas, Pou Bueno, Marta, Fernández Pérez, José Luis, Vázquez, Carlos, Universidade da Coruña Departamento de matematicas, and Pou Bueno, Marta
Abstract: [Abstract] In this work, an efficient procedure to simulate the stochastic dynamics of Libor Market Model that avoids the use of the path dependent drifts in Monte Carlo simulation is proposed. For this purpose, we follow a Drift-Free Simulation methodology, by first simulating certain martingales and then obtaining the involved forward Libor rates in terms of them. More precisely, we propose a particular parameterization of those martingales so that the desired properties of the continuous models can be maintained after the discretization procedure when using either any intermediate forward probability measure or the spot one. Thus, the need of using the terminal probability measure to maintain the desired properties can be overcome. Some numerical results concerning caplets pricing illustrate that the proposed method outperforms other ones existing in the literature. We also explain how this methodology can be adapted to the case of Swap Market Model or any generic market model, and we extend it to the recently appeared multicurve setting. We also present how the proposed technique can be applied in the cross-markets context to price cross-currency, commodity or in ation derivatives, for example. Finally we place the here presented methodology into a graph theoretical framework., [Resumen] En este trabajo presentamos un procedimiento eficaz para simular las dinámicas estoc ásticas del Modelo de Mercado del Libor, procedimiento que evita el uso de los términos de deriva en la simulación de Monte Carlo. Para este propósito seguimos una metodología de Simulación Sin Derivas simulando en primer lugar ciertas martingalas y obteniendo después los tipos implícitos forward Libor en términos de ellas. En concreto, proponemos una parametrización particular de estas martingalas de modo que las propiedades que posee el modelo continuo se mantengan tras el procedimiento de discretización, tanto bajo cualquier medida de probabilidad forward intermedia como bajo la medida de probabilidad spot. De este modo, se supera la necesidad de usar la medida de probabilidad terminal para mantener esas propiedades deseables. Algunos resultados numéricos relativos a la valoración de caplets ilustran que el método propuesto supera a otros existentes en la literatura. Explicamos también cómo esta metodología puede ser adaptada para el Modelo de Mercado del Swap o cualquier modelo de mercado genérico, y la extendemos para el caso multicurva. Exponemos también cómo la técnica propuesta puede ser aplicada en el contexto de dos economías para valorar derivados tanto de dos monedas, como de ciertas mercancías, como de in- ación, entre otros. Finalmente enmarcamos toda la metodología presentada durante el trabajo dentro del ámbito de la teoría de grafos., [Resumo] Neste traballo presentamos un procedemento eficaz para simular as dinámicas estocásticas do Modelo de Mercado do Libor, procedemento que evita o uso dos termos de deriva na simulación de Monte Carlo. Para este propósito seguimos unha metodoloxía de Simulación Sen Derivas simulando nun primer lugar certas martingalas e obtendo despois os tipos implícitos forward Libor en termos delas. En concreto, propo~nemos unha parametrización particular destas martingalas de xeito que as propiedades que posee o modelo continuo sexan mantidas tras o procedemento de discretizaci ón, tanto baixo calquera medida de probabilidade forward intermedia como baixo a medida de probabilidade spot. De este xeito, se supera a necesidade de facer uso da medida de probabilidade terminal para manter esas propiedades desexables. Alguns resultados numéricos relativos á valoración de caplets ilustran que o método proposto supera a outros xa existentes na literatura. Explicamos tamén cómo esta metodoloxía pode ser adaptada para o Modelo de Mercado do Swap ou para calquera modelo de mercado xenérico, e exténdese para o caso multicurva. Amosamos tamén cómo a técnica proposta pode ser aplicada no contexto de dúas economías para valorar derivados tanto de dúas moedas, como de certas mercancías, como de in ación, entre outros. Finalmente enmarcamos toda a metodoloxía presentada durante o traballo dentro do campo da teoría de grafos.
Published: 2013

3. Renorming Banach Spaces with the Mazur Intersection Property

Author: Sevilla, M.Jiménez and Moreno, J.P
Published: 1997
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4. Symmetric Composition Algebras

Author: Elduque, Alberto
Published: 1997
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5. Boundary value problems with measures for elliptic equations with singular potentials

Author: Cecilia S. Yarur, Laurent Veron, Laboratoire de Mathématiques et Physique Théorique (LMPT), Université de Tours-Centre National de la Recherche Scientifique (CNRS), Departamento de Matematicas y CC (Departamento de Matematicas y CC), Universidad de Santiago de Chile [Santiago] (USACH), ECOS-Sud program C08E04. Fondecyt 1070125, and Université de Tours (UT)-Centre National de la Recherche Scientifique (CNRS)
Subjects: Poisson potential, Borel measures, Harnack inequalities, Poisson kernel, Boundary (topology), 01 natural sciences, Measure (mathematics), Domain (mathematical analysis), symbols.namesake, Capacities, Mathematics - Analysis of PDEs, FOS: Mathematics, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], Boundary value problem, 0101 mathematics, Mathematics, 35J25, 35J10, 28A12, 31C15, 31C35, 35C15, 010102 general mathematics, Mathematical analysis, 010101 applied mathematics, Bounded function, Radon measure, symbols, Laplacian, Singularities, Laplace operator, Analysis, Analysis of PDEs (math.AP)
Abstract: We study the boundary value problem with Radon measures for nonnegative solutions of $L_Vu:=-\Delta u+Vu=0$ in a bounded smooth domain $\Gw$, when $V$ is a locally bounded nonnegative function. Introducing some specific capacity, we give sufficient conditions on a Radon measure $\gm$ on $\prt\Gw$ so that the problem can be solved. We study the reduced measure associated to this equation as well as the boundary trace of positive solutions. In the appendix A. Ancona solves a question raised by M. Marcus and L. V\'eron concerning the vanishing set of the Poisson kernel of $L_V$ for an important class of potentials $V$., Comment: Contient un Appendice d'A. Ancona intitul\'e A necessary condition for the fine regularity of a boundary point with respect to a Schr\"odinger equation
Published: 2012
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6. Unfolding of saddle-nodes and their Dulac time

Author: Mariana Saavedra, Pavao Mardešić, Jordi Villadelprat, David Marín, Institut de Mathématiques de Bourgogne [Dijon] (IMB), Centre National de la Recherche Scientifique (CNRS)-Université de Franche-Comté (UFC), Université Bourgogne Franche-Comté [COMUE] (UBFC)-Université Bourgogne Franche-Comté [COMUE] (UBFC)-Université de Bourgogne (UB), Departament de Matemàtiques [Barcelona] (UAB), Universitat Autònoma de Barcelona (UAB), Departamento de Matematicas, Universidad de Concepcion, Universidad de Concepción [Chile], Departament d'Enginyeria Informàtica i Matemàtiques, Universitat Rovira i Virgili, FONDECYT. Grant number : 1120333, MINECO/FEDER. Grant number : MTM2011-26674-C02-01, MTM-2008-03437, ERDF 'A way to build Europe'. Grant number : UNAB10-4E-378, ANR-11-BS01-0009,STAAVF,Singularités de Trajectoires de Champs de Vecteurs Analytiques et Algébriques(2011), Institut de Mathématiques de Bourgogne [Dijon] ( IMB ), Université de Bourgogne ( UB ) -Centre National de la Recherche Scientifique ( CNRS ), Departament de Matemàtiques [Barcelona], Universitat Autònoma de Barcelona [Barcelona] ( UAB ), Departamento de Matematicas (Universidad de Concepcion, Chile), Universidad de Concepcion, and ANR-11-BS01-0009,STAAVF,Singularités de Trajectoires de Champs de Vecteurs Analytiques et Algébriques ( 2011 )
Subjects: [ MATH.MATH-DS ] Mathematics [math]/Dynamical Systems [math.DS], [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS], Block (permutation group theory), Dynamical Systems (math.DS), Space (mathematics), 01 natural sciences, Combinatorics, Quadratic equation, FOS: Mathematics, Mathematics - Dynamical Systems, 0101 mathematics, Bifurcation, Saddle, Mathematics, Period function, Applied Mathematics, Unfolding of a saddle-node, 010102 general mathematics, 16. Peace & justice, 010101 applied mathematics, MSC: 34C07, Asymptotic expansions, 34C07, Node (circuits), Asymptotic expansion, Analysis
Abstract: Altres ajuts: UNAB10-4E-378, co-funded by ERDF "A way to build Europe" and by the French ANR-11-BS01-0009 STAAVF. In this paper we study unfoldings of saddle-nodes and their Dulac time. By unfolding a saddle-node, saddles and nodes appear. In the first result (Theorem A) we give a uniform asymptotic expansion of the trajectories arriving at the node. Uniformity is with respect to all parameters including the unfolding parameter bringing the node to a saddle-node and a parameter belonging to a space of functions. In the second part, we apply this first result for proving a regularity result (Theorem B) on the Dulac time (time of Dulac map) of an unfolding of a saddle-node. This result is a building block in the study of bifurcations of critical periods in a neighborhood of a polycycle. Finally, we apply Theorem A and Theorem B to the study of critical periods of the Loud family of quadratic centers and we prove that no bifurcation occurs for certain values of the parameters (Theorem C).
Published: 2016
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7. Keller-Osserman estimates for some quasilinear elliptic systems

Author: Marta García-Huidobro, Cecilia S. Yarur, Marie-Françoise Bidaut-Véron, Laboratoire de Mathématiques et Physique Théorique (LMPT), Université de Tours-Centre National de la Recherche Scientifique (CNRS), Departamento de Matemáticas [Santiago de Chile], Facultad de Matemáticas [Santiago de Chile], Pontificia Universidad Católica de Chile (UC)-Pontificia Universidad Católica de Chile (UC), Departamento de Matematicas y CC (Departamento de Matematicas y CC), Universidad de Santiago de Chile [Santiago] (USACH), and Université de Tours (UT)-Centre National de la Recherche Scientifique (CNRS)
Subjects: Physics, Harnack inequality, Elliptic systems, a priori estimates, Applied Mathematics, 010102 general mathematics, asymptotic behaviour, Mathematics::Analysis of PDEs, A domain, Type (model theory), Quasilinear elliptic systems, 01 natural sciences, Omega, large solutions, 010101 applied mathematics, Combinatorics, Mathematics - Analysis of PDEs, 35B40, 35B45, 35J47, 35J92, 35M30, FOS: Mathematics, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], Absorption (logic), 0101 mathematics, Analysis, Analysis of PDEs (math.AP), Harnack's inequality
Abstract: In this article we study quasilinear systems of two types, in a domain $\Omega$ of $R^N$ : with absorption terms, or mixed terms: \begin{eqnarray} (A): \mathcal{A}_{p} u=v^{\delta}, \mathcal{A}_{q}v=u^{\mu},\\ (M): \mathcal{A}_{p} u=v^{\delta}, -\mathcal{A}_{q}v=u^{\mu}, \end{eqnarray} where $\delta$, $\mu>0$ and $1 0$; the model case is $\mathcal{A}_p = \Delta_p$, $\mathcal{A}_q = \Delta_q.$ Despite of the lack of comparison principle, we prove a priori estimates of Keller-Osserman type: \begin{eqnarray} u(x)\leq Cd(x,\partial\Omega)^{-\frac{p(q-1)+q\delta}{D}},\qquad v(x)\leq Cd(x,\partial\Omega)^{-\frac{q(p-1)+p\mu}{D}}. \end{eqnarray} Concerning system $(M)$, we show that $v$ always satisfies Harnack inequality. In the case $\Omega=B(0,1)\backslash \{0\}$, we also study the behaviour near 0 of the solutions of more general weighted systems, giving a priori estimates and removability results. Finally we prove the sharpness of the results.
Published: 2013
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8. Large solutions of elliptic systems of second order and applications to the biharmonic equation

Author: Marta García-Huidobro, Cecilia S. Yarur, Marie-Françoise Bidaut-Véron, Laboratoire de Mathématiques et Physique Théorique (LMPT), Université de Tours-Centre National de la Recherche Scientifique (CNRS), Departamento de Matemáticas [Santiago de Chile], Facultad de Matemáticas [Santiago de Chile], Pontificia Universidad Católica de Chile (UC)-Pontificia Universidad Católica de Chile (UC), Departamento de Matematicas y CC (Departamento de Matematicas y CC), Universidad de Santiago de Chile [Santiago] (USACH), Fondecyt 70100002,1070125,1070951,Ecos-Conecyt C08E04, and Université de Tours (UT)-Centre National de la Recherche Scientifique (CNRS)
Subjects: Semilinear elliptic systems, Elliptic systems, Dimension (graph theory), Mathematics::Analysis of PDEs, Boundary (topology), 01 natural sciences, Blowing up, Biharmonic equation, Mathematics - Analysis of PDEs, FOS: Mathematics, Discrete Mathematics and Combinatorics, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], 0101 mathematics, Mathematical physics, Mathematics, Applied Mathematics, 010102 general mathematics, Mathematical analysis, Order (ring theory), Keller-Osserman estimates, Asymptotic behavior, Delta-v (physics), 010101 applied mathematics, Isolated point, 35J60,35B40,35C20,34A34, Boundary blow-up, Analysis, Analysis of PDEs (math.AP)
Abstract: In this work we study the nonnegative solutions of the elliptic system \[ \Delta u=|x|^{a}v^{\delta},\qquad\Delta v=|x|^{b}u^{\mu}% \] in the superlinear case $\mu\delta>1,$ which blow up near the boundary of a domain of $\mathbb{R}^{N},$ or at one isolated point. In the radial case we give the precise behavior of the large solutions near the boundary in any dimension $N$. We also show the existence of infinitely many solutions blowing up at $0.$ Furthermore, we show that there exists a global positive solution in $\mathbb{R}^{N}\backslash\left\{ 0\right\} ,$ large at $0,$ and we describe its behavior. We apply the results to the sign changing solutions of the biharmonic equation \[ \Delta^{2}u=\left\vert x\right\vert ^{b}\left\vert u\right\vert ^{\mu}. \] Our results are based on a new dynamical approach of the radial system by means of a quadratic system of order 4, introduced in [4], combined with the nonradial upper estimates of [5].
Published: 2010
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9. Backward blow-up estimates and initial trace for a parabolic system of reaction-diffusion

Author: Marta García-Huidobro, Cecilia S. Yarur, Marie-Françoise Bidaut-Véron, Laboratoire de Mathématiques et Physique Théorique (LMPT), Université de Tours-Centre National de la Recherche Scientifique (CNRS), Departamento de Matemáticas [Santiago de Chile], Facultad de Matemáticas [Santiago de Chile], Pontificia Universidad Católica de Chile (UC)-Pontificia Universidad Católica de Chile (UC), Departamento de Matematicas y CC (Departamento de Matematicas y CC), Universidad de Santiago de Chile [Santiago] (USACH), Fondcyt 7090028, 1070125,1070951, ECOS-CONICYT C08E04, and Université de Tours (UT)-Centre National de la Recherche Scientifique (CNRS)
Subjects: Trace (linear algebra), General Mathematics, Type (model theory), 01 natural sciences, Omega, Combinatorics, singularities, Mathematics - Analysis of PDEs, Reaction–diffusion system, backward estimates, 35K45, 35K57, 35K58, FOS: Mathematics, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], 0101 mathematics, Borel measure, initial trace, competitive systems, Mathematics, 010102 general mathematics, Statistical and Nonlinear Physics, Delta-v (physics), Parabolic semilinear systems of reaction-diffusion, 010101 applied mathematics, Parabolic system, Domain (ring theory), Analysis of PDEs (math.AP)
Abstract: In this article we study the positive solutions of the parabolic semilinear system of competitive type in Ω × (0, T), where Ω is a domain of ℝN, and p,q > 0, pq ≠ 1, Despite of the lack of comparison principles, we prove local upper estimates in the superlinear case pq > 1 of the form u(x, t) ≦ Ct-(p+1)/(pq-1), v(x, t) ≦ Ct-(q+1)/(pq-1) in ω × (0, T1), for any domain ω ⊂⊂ Ω, T1 ∈ (0, T), and C = C(N, p, q, T1, ω). For p, q > 1, we prove the existence of an initial trace at time 0, which is a Borel measure on Ω. Finally we prove that the punctual singularities at time 0 are removable when p, q ≧ 1 + 2/N.
Published: 2010

10. CONVERGENCE IN RELATIVE ERROR FOR THE POROUS MEDIUM EQUATION IN A TUBE

Author: Audrito, Alessandro, Gárriz, Alejandro, Quirós, Fernando, Department of Mathematics - ETH, Eidgenössische Technische Hochschule - Swiss Federal Institute of Technology [Zürich] (ETH Zürich), Institut de Mathématiques de Toulouse UMR5219 (IMT), Université Toulouse Capitole (UT Capitole), Université de Toulouse (UT)-Université de Toulouse (UT)-Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Institut National des Sciences Appliquées (INSA)-Université Toulouse - Jean Jaurès (UT2J), Université de Toulouse (UT)-Université Toulouse III - Paul Sabatier (UT3), Université de Toulouse (UT)-Centre National de la Recherche Scientifique (CNRS), Departamento de Matematicas [Madrid], Universidad Autónoma de Madrid (UAM), European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska–Curie grant agreement 892017 (LNLFB-Problems), ANR project DEEV ANR-20-CE40-0011-01, MCIN/AEI (Spain) through projects MTM2017-87596-P, PID2020-116949GB-I00, RED2018-102650-T and the ICMAT-Severo Ochoa grant CEX2019-000904-S, and ANR-20-CE40-0011,DEEV,Modèles intégro-différentiels venant de la biologie évolutive(2020)
Subjects: Mathematics - Analysis of PDEs, Traveling waves, FOS: Mathematics, Long-time behaviour, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], Porous medium diffusion in tubes, Convergence in relative error, 2010 Mathematics Subject Classification. 35K57, 35K65, 35C07, 35K55, Analysis of PDEs (math.AP)
Abstract: Given a bounded domain $D \subset \mathbb{R}^N$ and $m > 1$, we study the long-time behaviour of solutions to the Porous Medium equation (PME) posed in a tube \[ \partial_tu = Δu^m \quad \text{ in } D \times \mathbb{R}, \quad t > 0, \] with homogeneous Dirichlet boundary conditions on the boundary $\partial D \times \mathbb{R}$ and suitable initial datum at $t=0$. In two previous works, Vázquez and Gilding & Goncerzewicz proved that a wide class of solutions exhibit a traveling wave behaviour, when computed at a logarithmic time-scale and suitably renormalized. In this paper, we show that, for large times, solutions converge in relative error to the Friendly Giant, i.e., the unique nonnegative solution to the PME posed in the section $D$ of the tube (with homogeneous Dirichlet boundary conditions) having a special self-similar form. In addition, sharp rates of convergence and uniform bounds for the location of the free boundary of solutions are given.
Published: 2022

11. On Lê’s formula in arbitrary characteristic

Author: Evelia Rosa García Barroso, Arkadiusz Płoski, Krasiński, Tadeusz, Spodzieja, Stanisław, Universidad de La Laguna, Departamento de Matematicas, and Uniwersytet Technologiczny w Kielcach, Wydział Matematyki i Fizyki
Abstract: In this note we extend, to arbitrary characteristic, Lˆe’s formula (Calculation of Milnor number of isolated singularity of complete intersection. Funct. Anal. Appl. 8 (1974), 127–131).
Published: 2022
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12. Equivalence of Linear Complementarity Problems: Theory and Application to Nonsmooth Bifurcations

Author: MIranda-Villatoro, Felix, Castaños, Fernando, Franci, Alessio, Modélisation, simulation et commande des systèmes dynamiques non lisses (TRIPOP), Inria Grenoble - Rhône-Alpes, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire Jean Kuntzmann (LJK), Institut National de Recherche en Informatique et en Automatique (Inria)-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP ), Université Grenoble Alpes (UGA)-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP ), Université Grenoble Alpes (UGA), Departamento de Control Automático (CINVESTAV-IPN), Center for Research and Advanced Studies of the National Polytechnic Institute (CINVESTAV-IPN), Departamento de Matematicas [Mexico], Universidad Nacional Autónoma de México = National Autonomous University of Mexico (UNAM), and Universidad Nacional Autónoma de México (UNAM)
Subjects: linear complementarity problems, nonsmooth dynamics, [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS], Mathematics::Optimization and Control, Systems and Control (eess.SY), Dynamical Systems (math.DS), Electrical Engineering and Systems Science - Systems and Control, [SPI.AUTO]Engineering Sciences [physics]/Automatic, Bifurcations, piecewise linear equations, Optimization and Control (math.OC), [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering, [INFO.INFO-SY]Computer Science [cs]/Systems and Control [cs.SY], FOS: Electrical engineering, electronic engineering, information engineering, FOS: Mathematics, [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC], Mathematics - Dynamical Systems, Mathematics - Optimization and Control
Abstract: Linear complementarity problems provide a powerful framework to model nonsmooth phenomena in a variety of real-world applications. In dynamical control systems, they appear coupled to a linear input-output system in the form of linear complementarity systems. Mimicking the program that led to the foundation of bifurcation theory in smooth maps, we introduce a novel notion of equivalence between linear complementarity problems that sets the basis for a theory of bifurcations in a large class of nonsmooth maps, including, but not restricted to, steadystate bifurcations in linear complementarity systems. Our definition exploits the rich geometry of linear complementarity problems and leads to constructive algebraic conditions for identifying and classifying the nonsmooth singularities associated with nonsmooth bifurcations. We thoroughly illustrate our theory on an extended applied example, the design of bistability in an electrical network, and a more theoretical one, the identification and classification of all possible equivalence classes in two-dimensional linear complementarity problems.
Published: 2021

13. Modeling the Relationship Between Antibody-Dependent Enhancement and Disease Severity in Secondary Dengue Infection

Author: Lourdes Esteva, Claudia Pio Ferreira, Clémence Métayer, Felipe de Almeida Camargo, Mostafa Adimy, Universidade Estadual Paulista Júlio de Mesquita Filho = São Paulo State University (UNESP), Multi-scale modelling of cell dynamics : application to hematopoiesis (DRACULA), Centre de génétique et de physiologie moléculaire et cellulaire (CGPhiMC), Centre National de la Recherche Scientifique (CNRS)-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Université de Lyon-Centre National de la Recherche Scientifique (CNRS)-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Université de Lyon-Inria Grenoble - Rhône-Alpes, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Institut Camille Jordan [Villeurbanne] (ICJ), École Centrale de Lyon (ECL), Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Institut National des Sciences Appliquées de Lyon (INSA Lyon), Institut National des Sciences Appliquées (INSA)-Université de Lyon-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet [Saint-Étienne] (UJM)-Centre National de la Recherche Scientifique (CNRS)-École Centrale de Lyon (ECL), Institut National des Sciences Appliquées (INSA)-Université de Lyon-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet [Saint-Étienne] (UJM)-Centre National de la Recherche Scientifique (CNRS), Institut Camille Jordan [Villeurbanne] (ICJ), Departamento de Matematicas [Mexico], Universidad Nacional Autónoma de México (UNAM), Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Université de Lyon-Centre National de la Recherche Scientifique (CNRS)-Inria Grenoble - Rhône-Alpes, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Institut Camille Jordan (ICJ), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet - Saint-Étienne (UJM)-Centre National de la Recherche Scientifique (CNRS)-École Centrale de Lyon (ECL), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet - Saint-Étienne (UJM)-Centre National de la Recherche Scientifique (CNRS), Institut Camille Jordan (ICJ), Modélisation mathématique, calcul scientifique (MMCS), Universidad Nacional Autónoma de México = National Autonomous University of Mexico (UNAM), Université Lyon 1, UNAM, and Universidade Estadual Paulista (UNESP)
Subjects: 0301 basic medicine, Local and global stability analyses for ordinary differential system, Neutralizing and enhancing antibodies, General Mathematics, Secondary infection, Immunology, [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS], Dengue virus, Biology, medicine.disease_cause, Antibodies, Viral, Severity of Illness Index, General Biochemistry, Genetics and Molecular Biology, Virus, Hemorrhagic disorder, Dengue fever, Dengue, 03 medical and health sciences, 0302 clinical medicine, medicine, Humans, Antibody-dependent enhancement, Original antigenic sin, Dengue shock syndrome (DSS), General Environmental Science, Pharmacology, Coinfection, General Neuroscience, Dengue hemorrhagic fever (DHF), Mathematical Concepts, Dengue Virus, medicine.disease, DENV1-4, Virology, Antibodies, Neutralizing, Antibody-Dependent Enhancement, 3. Good health, 030104 developmental biology, Computational Theory and Mathematics, 030220 oncology & carcinogenesis, Mathematical modeling, General Agricultural and Biological Sciences, Basic reproduction number
Abstract: Made available in DSpace on 2022-04-28T19:40:44Z (GMT). No. of bitstreams: 0 Previous issue date: 2021-08-01 Sequential infections with different dengue serotypes (DENV-1, 4) significantly increase the risk of a severe disease outcome (fever, shock, and hemorrhagic disorders). Two hypotheses have been proposed to explain the severity of the disease: (1) antibody-dependent enhancement (ADE) and (2) original T cell antigenic sin. In this work, we explored the first hypothesis through mathematical modeling. The proposed model reproduces the dynamic of susceptible and infected target cells and dengue virus in scenarios of infection-neutralizing and infection-enhancing antibody competition induced by two distinct serotypes of the dengue virus during secondary infection. The enhancement and neutralization functions are derived from basic concepts of chemical reactions and used to mimic binding to the virus by two distinct populations of antibodies. The analytic study of the model showed the existence of two equilibriums: a disease-free equilibrium and an endemic one. Using the concept of the basic reproduction numberR, we performed the asymptotic stability analysis for the two equilibriums. To measure the severity of the disease, we considered the maximum value of infected cells as well as the time when this maximum is reached. We observed that it corresponds to the time when the maximum enhancing activity for the infection occurs. This critical time was calculated from the model to be a few days after the occurrence of the infection, which corresponds to what is observed in the literature. Finally, using as output R, we were able to rank the contribution of each parameter of the model. In particular, we highlighted that the cross-reactive antibody responses may be responsible for the disease enhancement during secondary heterologous dengue infection. Inria Institut Camille Jordan Université de Lyon Université Lyon 1, 43 Bd. du 11 novembre 1918 Departamento de Matemáticas Facultad de Ciencias UNAM Institute of Biosciences São Paulo State University (UNESP) Institute of Biosciences São Paulo State University (UNESP)
Published: 2021
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14. Anomalous wave structure in magnetized materials described by non-convex equations of state

Author: Marquina, Antonio [Departamento de Matematicas, Universidad de Valencia, 46100 Burjassot, Valencia (Spain)]
Published: 2014
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15. The turnpike property and the long-time behavior of the Hamilton-Jacobi-Bellman equation

Author: Esteve, Carlos, Kouhkouh, Hicham, Pighin, Dario, Zuazua, Enrique, Departemento de Matematicas, Universidad Autonoma de Madrid (UAM), Chair in Applied Analysis, Alexander von Humboldt-Professorship, Department of Data Science, Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), Chair of Computational Mathematics, Fundación Deusto, and Departamento de Matematicas [Madrid]
Subjects: [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]
Abstract: We analyze the consequences that the so-called turnpike property has on the long-time behavior of the value function corresponding to a finite-dimensional linear-quadratic optimal control problem with general terminal cost and constrained controls.We prove that, when the time horizon $T$ tends to infinity, the value function asymptotically behaves as $W(x) + c\, T + \lambda$, and we provide a control interpretation of each of these three terms, making clear the link with the turnpike property.As a by-product, we obtain the long-time behavior of the solution to the associated Hamilton-Jacobi-Bellman equation in a case where the Hamiltonian is not coercive in the momentum variable. As a result of independent interest, we provide a new turnpike result for the linear-quadratic optimal control problem with constrained control. As a main feature, our turnpike result applies to the case when the steady optimum may saturate the control constraints. This prevented us from proving the turnpike property with an exponential rate, which is well-known to hold for the unconstrained case.
Published: 2021

16. Rainbow polygons for colored point sets in the plane *

Author: Csaba D. Tóth, Birgit Vogtenhuber, Mikio Kano, David Orden, Jorge Urrutia, Javier Tejel, David Flores-Peñaloza, Leonardo Martínez-Sandoval, Departamento de Matematicas [Mexico], Universidad Nacional Autónoma de México (UNAM), Institut de Mathématiques de Jussieu - Paris Rive Gauche (IMJ-PRG (UMR_7586)), Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université de Paris (UP), Ibaraki University, Instituto de Matematicas [México], Universidad de Alcalá - University of Alcalá (UAH), University of Zaragoza - Universidad de Zaragoza [Zaragoza], California State University [Northridge] (CSUN), Institute for Software Technology [Graz] (IST), and Graz University of Technology [Graz] (TU Graz)-Technische Universität Graz (TU Graz)
Subjects: Computational Geometry (cs.CG), FOS: Computer and information sciences, Discrete Mathematics (cs.DM), Boundary (topology), 0102 computer and information sciences, Computer Science::Computational Geometry, Enclosing simple polygon, 01 natural sciences, Theoretical Computer Science, Combinatorics, Colored point set, Computer Science::Discrete Mathematics, FOS: Mathematics, Discrete Mathematics and Combinatorics, Mathematics - Combinatorics, Point (geometry), General bounds, 0101 mathematics, [MATH]Mathematics [math], Simple polygon, Mathematics, Discrete mathematics, Mathematics::Combinatorics, Particular cases, Plane (geometry), 010102 general mathematics, Rainbow, Colored, 010201 computation theory & mathematics, Polygon, Computer Science - Computational Geometry, Combinatorics (math.CO), General position, Computer Science - Discrete Mathematics
Abstract: Given a colored point set in the plane, a perfect rainbow polygon is a simple polygon that contains exactly one point of each color, either in its interior or on its boundary. Let $\operatorname{rb-index}(S)$ denote the smallest size of a perfect rainbow polygon for a colored point set $S$, and let $\operatorname{rb-index}(k)$ be the maximum of $\operatorname{rb-index}(S)$ over all $k$-colored point sets in general position; that is, every $k$-colored point set $S$ has a perfect rainbow polygon with at most $\operatorname{rb-index}(k)$ vertices. In this paper, we determine the values of $\operatorname{rb-index}(k)$ up to $k=7$, which is the first case where $\operatorname{rb-index}(k)\neq k$, and we prove that for $k\ge 5$, \[ \frac{40\lfloor (k-1)/2 \rfloor -8}{19} %Birgit: \leq\operatorname{rb-index}(k)\leq 10 \bigg\lfloor\frac{k}{7}\bigg\rfloor + 11. \] Furthermore, for a $k$-colored set of $n$ points in the plane in general position, a perfect rainbow polygon with at most $10 \lfloor\frac{k}{7}\rfloor + 11$ vertices can be computed in $O(n\log n)$ time., 23 pages, 11 figures, to appear at Discrete Mathematics
Published: 2021
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17. Two-dimensional imaginary lobachevsky space. Separation of variables and contractions

Author: Yakhno, A [Universidad de Guadalajara, Departamento de Matematicas, CUCEI (Mexico)]
Published: 2011
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18. Exact Solutions and Conservation Laws for a New Integrable Equation

Author: Bruzon, M [Departamento de Matematicas, Universidad de Cadiz, PO.BOX 40 11510 Puerto Real, Cadiz (Spain)]
Published: 2010
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19. Pairing in 4-component fermion systems: The bulk limit of SU(4)-symmetric Hamiltonians

Author: Esebbag, C [Departamento de Matematicas, Universidad de Alcala, 28871 Alcala de Henares (Spain)]
Published: 2010
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20. Noncommutative Quantum Scalar Field Cosmology

Author: Yee, C [Departamento de Matematicas, Facultad de Ciencias, Universidad Autonoma de Baja California, Ensenada, Baja California (Mexico)]
Published: 2010
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21. New four-dimensional integrals by Mellin-Barnes transform

Author: Notte Cuello, Eduardo [Departamento de Matematicas, Facultad de Ciencias, Universidad de La Serena, Benavente 980, La Serena (Chile)]
Published: 2010
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22. Lie algebra contractions on two-dimensional hyperboloid

Author: Yakhno, A [Universidad de Guadalajara, Departamento de Matematicas, CUCEI (Mexico)]
Published: 2010
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23. POLARIZATION OF THE WMAP POINT SOURCES

Author: Argueeso, F [Departamento de Matematicas, Universidad de Oviedo, Oviedo 33007 (Spain)]
Published: 2009
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24. Dynamics Of Coupled And Driven Harmonic Oscillators Using Dual Quaternions

Author: Resendiz, Rafael [Universidad Autonoma Metropolitana, Departamento de Matematicas, Iztapalapa, Mexico DF (Mexico)]
Published: 2009
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25. Lie-algebra contractions and separation of variables. Three-dimensional sphere

Author: Yakhno, A [Universidad de Guadalajara, Departamento de Matematicas, CUCEI (Mexico)]
Published: 2009
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26. Analytical Estimates of the Dispersion Curve in Planar Ionization Fronts

Author: Fontelos, Marco [Departamento de Matematicas, Universidad Autonoma de Madrid, 28049 Cantoblanco, Madrid (Spain)]
Published: 2009
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27. Global null-controllability for stochastic semilinear parabolic equations

Author: Hern��ndez-Santamar��a, V��ctor, Balc'h, K��vin Le, Peralta, Liliana, Instituto de Matematicas (UNAM), Universidad Nacional Autónoma de México = National Autonomous University of Mexico (UNAM), Control And GEometry (CaGE ), Inria de Paris, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire Jacques-Louis Lions (LJLL (UMR_7598)), Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité), Laboratoire Jacques-Louis Lions (LJLL (UMR_7598)), Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité), Departamento de Matematicas [Mexico], The work of the first author was supported by the programme 'Estancias posdoctorales por México' of CONACyT, Mexico. The second author has benefited from financial support of the French State, managed by the French National Research Agency (ANR) in the frame of the 'Investments for the future' Programme IdEx Bordeaux - SysNum (ANR-10-IDEX-03-02). The second author has also been supported by the grant 'Numerical simulation and optimal control in view of temperature regulation in smart buildings' of the Nouvelle Aquitaine Region. The second author is partially supported by the Project TRECOS ANR-20-CE40-0009 funded by the ANR (2021–2024)., ANR-10-IDEX-0003,IDEX BORDEAUX,Initiative d'excellence de l'Université de Bordeaux(2010), and ANR-20-CE40-0009,TRECOS,Nouvelles directions en contrôle et stabilisation: Contraintes et termes non-locaux(2020)
Subjects: Mathematics - Analysis of PDEs, Global null-controllability, Applied Mathematics, FOS: Mathematics, Banach fixed point method, Forward and backward semilinear stochastic parabolic equations, [MATH]Mathematics [math], Carleman estimates, Mathematical Physics, Analysis, Analysis of PDEs (math.AP)
Abstract: In this paper, we prove the small-time global null-controllability of forward (resp. backward) semilinear stochastic parabolic equations with globally Lipschitz nonlinearities in the drift and diffusion terms (resp. in the drift term). In particular, we solve the open question posed by S. Tang and X. Zhang, in 2009. We propose a new twist on a classical strategy for controlling linear stochastic systems. By employing a new refined Carleman estimate, we obtain a controllability result in a weighted space for a linear system with source terms. The main novelty here is that the Carleman parameters are made explicit and are then used in a Banach fixed point method. This allows to circumvent the well-known problem of the lack of compactness embeddings for the solutions spaces arising in the study of controllability problems for stochastic PDEs.
Published: 2020

28. Erratum: 'Searches for Gravitational Waves from Known Pulsars at Two Harmonics in 2015–2017 LIGO Data' (2019, ApJ, 879, 10)

Author: P. Kumar, B. R. Hall, R. Cavalieri, A. K. Srivastava, A. E. Pace, A. Fernandez-Galiana, A. Basti, Ryan N. Lang, J.-P. Coulon, T. Hardwick, D. Steinmeyer, E. A. Chase, Z. Frei, Piotr Jaranowski, V. Sequino, S. Caride, Jordan Camp, J. Liu, F. Travasso, Michał Bejger, A. Pasqualetti, J.-D. Fournier, M. Croquette, Philip F. Hopkins, Christian Pedersen, H. M. Lee, L. Xiao, Milan Gupta, P. Fulda, P. T.H. Pang, T. Etzel, G. Mendell, C. S. Unnikrishnan, J. Jiang, I. Fiori, S. J. Jadhav, B. C. Pant, Sourav Ghosh, Imre Bartos, V. Germain, V. Quetschke, Martin M. Fejer, R. Bork, S. Ghonge, Shawn Rosofsky, T. Di Girolamo, K. AultONeal, A. Perreca, S. M. Scott, G. Gemme, L. van der Schaaf, S. A. Pai, Cody Messick, M. Drago, L. E. Wade, Rebecca Fisher, K. S. Phukon, J. Li, J. Eichholz, Guenakh Mitselmakher, Zhihui Du, I. Belahcene, S. E. Barclay, M. Fyffe, R. Kirchhoff, R. Colgan, B. L. Pearlstone, D. M. Macleod, Charalampos Markakis, Archana Pai, W. Z. Korth, Gabriela Gonzalez, K. R. Corley, Christopher P. L. Berry, J. L. Willis, M. Eisenmann, Ofek Birnholtz, Archisman Ghosh, F. Paoletti, B. A. Boom, Samuel Deléglise, B. L. Swinkels, A. M. Sergeev, Torrey Cullen, G. Vedovato, L. E. H. Datrier, Samuele Cortese, Charlie Hoy, A. M. Holgado, G. Ciani, D. B. Kozak, A. D. Silva, J. Suresh, M. C. Milovich-Goff, J. L. Wright, Sebastiano Bernuzzi, P. Booker, S. Mastrogiovanni, Nicolas Sanchis-Gual, P. Ruggi, A. Parida, R. K. Lanza, S. S. Eikenberry, R. Pedurand, Benno Willke, S. T. Countryman, Michael E Zucker, A. Grado, Andrew Matas, C. D. Booth, D. Stocks, Surabhi Sachdev, Christopher J. Moore, Alessandra Corsi, Sanjay Kumar, V. V. Frolov, M. Fitz-Axen, Eric Howell, A. Singhal, P. Thomas, M. Arène, A. Mullavey, T. J. N. Nelson, V. Fafone, J. Betzwieser, C. Vorvick, G. Kang, Daniel E. Holz, B. J. J. Slagmolen, P. Dupej, Alena Ananyeva, Stanislav Babak, M. Constancio, C. Cahillane, Debnandini Mukherjee, C. Pankow, P. M. Meyers, S. Doravari, M. Muratore, M. C. Heintze, P. J. Sutton, Alyssa Garcia, B. Patricelli, F. Carbognani, D. S. Wu, Margaret Millhouse, J. H. Romie, G. D. O'Dea, Bruno Giacomazzo, A. Pal-Singh, S. Leavey, Hai-Ping Cheng, A. Iess, L. K. Nuttall, Erik Katsavounidis, R. Macas, G. Billingsley, S. Macfoy, O. Halim, K. W. Tsang, Kendall Ackley, R. K. Nayak, B. D. Lackey, P. Grassia, Kipp Cannon, M. Steinke, Xiaohui Fan, Richard O'Shaughnessy, B. Barr, J. Worden, Rana X. Adhikari, F. Donovan, R. Kennedy, Geoffrey Lovelace, S. G. Gaonkar, Antoine Heidmann, D. Töyrä, David Jones, Marco Cavaglia, Sascha Husa, G. Venugopalan, D.B. DeBra, A. K. Zadrożny, H. Estelles, K. Siellez, J. Derby, K. A. Thorne, Isabel Cordero-Carrión, Sung-Po Chao, H. Overmier, Eric B. Flynn, B. Gateley, G. Kuehn, Haixing Miao, H. Ohta, G. Bogaert, J. J. Bero, F. J. Raab, N. Mukund, S. Marsat, V. Tiwari, Yann Bouffanais, V. Avendano, Xiuling Li, Matthew Evans, K. L. Dooley, R. Inta, L. R. Cominsky, Rosa Poggiani, V. Frey, A. K. Mehta, S. Farinon, A. Pele, E. J. Daw, Maurizio Canepa, P. H. Nguyen, Antonio Marquina, T. A. Ferreira, M. Rakhmanov, P. Oppermann, Aaron Buikema, J. Hennig, V. Gayathri, S. Walsh, Miriam Cabero, Alessandra Buonanno, R. Metzdorff, C.-J. Haster, Gabrielle Allen, D. M. Wilken, S. Klimenko, Leo Tsukada, P. T. Baker, A. Avila-Alvarez, K. Gill, J. Palfreyman, Fangchen Feng, B. Lantz, B. Irwin, C. C. Yancey, W. G. Anderson, G. Cella, H. Vahlbruch, J. C. Mills, K. Riles, R. Mittleman, Francesco Pannarale, Soichiro Morisaki, Paul J. Groot, M. Zevin, N. A. Holland, K. Rao, Podila Satya Venkata Narasimha Sharma, K. D. Giardina, P. J. Veitch, R. De Rosa, I. Nardecchia, D. Sellers, H. Radkins, Lisa Barsotti, H. Y. Chia, Fl Linde, F. Magaña-Sandoval, M. F. Carney, C. Whittle, R. Gustafson, H. J. Bulten, Anirban Dasgupta, E. Z. Hamilton, Walter Winkler, B. P. Abbott, A. Bozzi, R. J. G. Jonker, J. K. Wofford, M. A. Page, J. Y. Vinet, H. Middleton, J. B. Kanner, Michael Keith, Robert J. McCarthy, C. C. Wipf, E. J. King, Nelson Christensen, Linqing Wen, P. Raffai, L. Naticchioni, Salvatore Vitale, A. Cumming, F. Di Renzo, Lee McCuller, N. Mazumder, J. D. E. Creighton, E. K. Gustafson, M. Weinert, H. A. G. Gabbard, S. V. Angelova, John Veitch, J. Lehmann, T. D. Abbott, J. Meidam, A. W. Heptonstall, Pablo Cerdá-Durán, Vivien Raymond, Peter R. Saulson, Alessandro Corongiu, S. Vass, S. Raja, E. Genin, J. Zhang, F. Baldaccini, L. F. Ortega, A. Rocchi, A. S. Markosyan, S. E. Strigin, J. V. Van Heijningen, H. Fong, G. Greco, J. S. Lange, F. Fidecaro, G. M. Guidi, Harald Lück, F. Marion, J. McIver, Z. Tornasi, M. J. Cowart, P. Puppo, A. L. Urban, D. Ugolini, P. Clearwater, K. E. Ramirez, D. W. Yeeles, Zoheyr Doctor, A. Malik, S. Gaudio, E. J. Fauchon-Jones, R. M. S. Schofield, R. Coyne, Fabrice Matichard, H. N. Isa, N. Arnaud, Maggie Tse, L. Wallace, A. Królak, Riccardo Sturani, J. Hanks, M. Lormand, R. Abbott, A. Ain, R. J. Trudeau, D. Moffa, J. Zweizig, C. De Rossi, D. Verkindt, C. Cocchieri, B. Goncharov, R. Birney, F. Frasconi, E. L. Merilh, M. Kinley-Hanlon, M. C. Tringali, S. Hochheim, N. A. Robertson, M. Cho, David Coward, D. Tuyenbayev, E. A. Huerta, D. J. Stops, J. S. H. Lee, Felix Wellmann, R. Flaminio, J. Warner, J. J. McCann, T. J. Slaven-Blair, S. ShyamSundar, C. Stachie, R. Frey, Duncan Meacher, N. V. Keerthana, Moritz Mehmet, Benjamin J. Owen, R. Passaquieti, J. F. J. van den Brand, E. A. Muñiz, K. Y. Ng, S. Brunett, Marco Romanelli, E. K. Wessel, Vijay Varma, M. MacInnis, C. Rajan, J. K. Blackburn, Bala R. Iyer, Terry G. McRae, E. Chassande-Mottin, S. P. Stevenson, Sebastian Steinlechner, Sheila Rowan, S. Caudill, G. Gaur, S. C. McGuire, J. F. Read, Chris A. Collins, J. G. Bartlett, Márton Tápai, W. Ren, Mandar Patil, Abhirup Ghosh, Sheon Chua, S. Sunil, M. Tacca, Martin Hendry, Cecilio García-Quirós, R. Bonnand, S. Di Pace, Mariana Fazio, A. Dmitriev, G. Koekoek, A. J. Weinstein, R. Goetz, S. Katsanevas, V. Boschi, Marcus E. Lower, Tarun Souradeep, M. Yvert, S. Ponrathnam, B. U. Gadre, M. Pürrer, S. Kwang, C. L. Romel, M. C. Díaz, Sebastien Biscans, G. A. Prodi, J. C. Barayoga, S. McCormick, P. Rapagnani, T. Mistry, A. L. Stuver, D. Hoak, D. Sentenac, A. Bisht, R. DeSalvo, Karsten Danzmann, N. Letendre, L. G. Prokhorov, Patrick Brady, Nikhil Sarin, D. Passuello, Odylio D. Aguiar, I. W. Martin, C. F. Da Silva Costa, Hua Wang, M. van Beuzekom, Liam Cunningham, M. Punturo, Leopoldo Milano, K. Haris, Madeline Wade, M. Di Giovanni, P. Leaci, L. Glover, S. A. Bilgili, Jay D. Tasson, S. Mitra, A. W. Jones, H. S. Chen, M. Landry, R. De Pietri, S. Biscoveanu, Rocco Romano, A. Cirone, P. Couvares, F. Garufi, David H. Shoemaker, S. Karki, Junwei Cao, O. V. Palashov, Sean T. McWilliams, Y. Boetzel, Hongyu Shen, Nicholas Demos, J. D. Lough, D. C. Coyne, Colm Talbot, Andreas Freise, M. Boer, M. A. Okada, Shubhanshu Tiwari, A. F. Brooks, P. J. Quinonez, F. Piergiovanni, Slawomir Gras, D. Lumaca, M. Haney, K. Mason, L. Di Fiore, B. Mours, Jingbo Wang, Soma Mukherjee, E. C. Ferreira, Sanjeev Dhurandhar, G. Wang, Hyun Lee, S. W. S. Ng, John D. Scott, M. Standke, Otto A. Hannuksela, Surendra Nadh Somala, C. Austin, N. Radulescu, Patrick Godwin, R. A. Mercer, M. Barsuglia, Jan Harms, A. S. Sengupta, J. Calderón Bustillo, K. Izumi, T. Sadecki, Paul D. Lasky, Kiran Prasai, J. W. Westhouse, T. A. Callister, Matthew Pitkin, Denis Martynov, Marco Bazzan, Xin Chen, R. M. Martin, David A. Nichols, W. Katzman, S. Grunewald, R. Prasanna, Edward K. Porter, D. Buskulic, G. Giordano, K. Toland, D. J. Hofman, C. Ingram, L. Pinard, G. L. Mansell, I. Maksimovic, S. Ossokine, Jinsook Kim, R. L. Ward, G. Hemming, C. Affeldt, L. Matone, M. Davier, M. C. Araya, Srishti Tiwari, C. Lazzaro, Patricia Schmidt, V. Brisson, M. J. Yap, Lindsay DeMarchi, C. K. Cheong, Hyang Woon Lee, A. Grant, John R. Smith, C. Palomba, S. Privitera, Matthew Kerr, M. Khursheed, A. Possenti, Federico Ferrini, F. Brighenti, Jade Powell, B. B. Lane, A. Viceré, Lucas Guillemot, C. Messenger, L. Kuo, H. Yamamoto, Lijing Shao, G. Vajente, E. Capocasa, S. M. Gaebel, José A. Font, N. Singh, J. P. Zendri, G. Rutins, Graham Woan, R. Taylor, Robert L. Byer, Stuart Reid, M. S. Shahriar, Tyson Littenberg, T. D. Creighton, L. Zhang, J. H. Klika, S. Barnum, James Healy, P. A. Altin, Haocun Yu, M. Hulko, V. Mangano, Riccardo Ciolfi, Yi Chen, B. W. Schulte, M. Granata, J. C. Driggers, A. Schönbeck, Alexander C. Jenkins, B. Rajbhandari, P. Brockill, M. Nery, Ettore Majorana, A. A. Ciobanu, S. A. Usman, Y. K. Lecoeuche, G. M. Harry, Maya Fishbach, K. W. Chung, S. Ascenzi, V. Kringel, F. J. Hayes, M. Agathos, M. Kasprzack, E. Cuoco, Jacob Scheuer, Binlei Ding, S. M. Koehlenbeck, Gregorio Carullo, G. Pagano, S. Appert, Y. Setyawati, Roman Schnabel, L. Sammut, Daniel Wysocki, J. E. Brau, A. A. van Veggel, D. Fiorucci, A. K. Prajapati, A. Gupta, S. Meshkov, Seog Oh, N. Leroy, R. L. Savage, Efim A. Khazanov, G. Ballardin, A. S. Bell, M. Laxen, D. Barker, A. Samajdar, Michael L. Gorodetsky, Vuk Mandic, Minchuan Zhou, H. K. Gulati, David H. Reitze, Rahul Kashyap, A. Markowitz, Ryan Lynch, J. Prasad, Alessandro Ridolfi, B. Bécsy, M. Bawaj, Alessandro Bertolini, Q. Chu, Bernard F. Schutz, Li Ju, C. Buy, M. Oliver, Daniel A. Shaddock, Brittany Kamai, G. Dálya, A. Giazotto, P. Shawhan, Lionel London, F. Aubin, A. R. Wade, I. Ferrante, G. Stratta, C. M. Mow-Lowry, Sergey P. Vyatchanin, F. Y. Khalili, D. C. Vander-Hyde, Alejandro Torres-Forné, A. Allocca, P. Ehrens, Paul M. Ricker, Jesper Munch, H. Khan, G. Valdes, Steven Bloemen, R. Tso, K. Venkateswara, R. Cotesta, D. J. McManus, Jonathan R. Gair, C. Horst, F. Lin, Alice K. Harding, Tania Regimbau, S. B. Anderson, J.-G. Ducoin, Tim Dietrich, C. V. Kalaghatgi, J. Hanson, A. Miller, N. Koper, L. Mereni, B. Idzkowski, V. Loriette, L. Aiello, M. Gosselin, R. Green, Vivishek Sudhir, Rico K. L. Lo, E. E. Cowan, B. F. Whiting, E. Schreiber, J. Casanueva Diaz, S. D. Linker, B. Pang, R. Robie, A. Hreibi, Tristan Briant, V. Skliris, L. Sun, Marta Colleoni, William Parker, N. A. Lockerbie, R. C. Walet, Patrick M. Koch, J. Neilson, P. Charlton, J. A. Giaime, Kejia Lee, Mark A. Scheel, F. Clara, A. K. Lenon, Alberto Vecchio, Y. M. Kim, J. M. Fishner, Maher Yazback, Zachariah B. Etienne, V. P. Mitrofanov, S. Kaufer, S. Banagiri, H. Qi, L. Magaña Zertuche, Lili Yang, Hang Yu, N. Bode, P. Schale, Leo Singer, Achamveedu Gopakumar, C. Van Den Broeck, E. Sowell, A. M. Sintes, M. A. Aloy, M. Bitossi, G. Bergmann, K. Wette, M. De Laurentis, W. Del Pozzo, P. F. Cohadon, H. Heitmann, Carlos O. Lousto, T. Prestegard, T. L. Lam, O. J. Piccinni, Keith C. Gendreau, J. S. Areeda, K. Bossie, Tomasz Bulik, Will M. Farr, M. Montani, Jennifer Watchi, Miftar Ganija, T. P. Downes, Rainer Weiss, K. A. Santiago, F. Ricci, M. Branchesi, Gilles Theureau, M. Was, D. Huet, S. H. Huttner, M. H. Wimmer, A. Effler, Dániel Barta, A. Kumar, V. Srivastava, M. Fays, M. M. Hanke, Alessandro Longo, Hartmut Grote, Chandra Kant Mishra, R. Bhandare, Ryan Magee, John J. Oh, Timothy Evans, C. North, Thomas Dent, P. Corban, M. C. Edwards, S. C. Tait, Nancy Aggarwal, Zahoor Ali Khan, M. Pedraza, M. Chan, Richard J. Oram, L. Trozzo, D. Y. T. Pong, E. Massera, A. Di Lieto, Matthew Bailes, S. J. Chamberlin, M. Vasúth, Zifan Zhou, P. Ajith, Jonathan Cripe, C-H. Lee, Andrew Melatos, M. Lorenzini, I. A. Bilenko, L. Haegel, G. Losurdo, David J. Ottaway, E. Bonilla, Robert Stone, Rory Smith, C. Adams, Kazuhiro Agatsuma, Alessandro Nagar, A. Mishkin, A. Paoli, F. Cavalier, T. Enoto, H. Vocca, S. J. Kapadia, P. B. Covas, Frank Ohme, Eugeniy E. Mikhailov, V. Bossilkov, D. B. Tanner, Edward Seidel, Albert Lazzarini, O. E. S. Sauter, J. H. Briggs, Mark Hannam, F. Thies, X. Liu, R. M. Blair, D. Sigg, S. W. Ballmer, D. M. Shoemaker, M. Tonelli, François Bondu, A. Gennai, Rahul Kumar, Harald P. Pfeiffer, J. M. Gonzalez Castro, I. Dave, B. D. Cheeseboro, G. Cerretani, P. J. 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Eddolls, G, Edo, Tb, Effler, A, Ehrens, P, Eichholz, J, Eikenberry, S, Eisenmann, M, Eisenstein, Ra, Errico, L, Essick, Rc, Estelles, H, Estevez, D, Etienne, Zb, Etzel, T, Evans, M, Evans, Tm, Fafone, V, Fairhurst, S, Fan, X, Farinon, S, Farr, B, Farr, Wm, Fauchon-Jones, Ej, Favata, M, Fays, M, Fazio, M, Fee, C, Feicht, J, Fejer, Mm, Feng, F, Fernandez-Galiana, A, Ferrante, I, Ferreira, Ec, Ferreira, Ta, Fidecaro, F, Fiori, I, Fiorucci, D, Fishbach, M, Fisher, Rp, Fishner, Jm, Fittipaldi, R, Fitz-Axen, M, Fiumara, V, Flaminio, R, Fletcher, M, Floden, E, Flynn, E, Fong, H, Font, Ja, Forsyth, Pwf, Fournier, Jd, Vivanco, Fh, Frasca, S, Frasconi, F, Frei, Z, Freise, A, Frey, R, Frey, V, Fritschel, P, Frolov, Vv, Fronze, G, Fulda, P, Fyffe, M, Gabbard, Ha, Gadre, Bu, Gaebel, Sm, Gair, Jr, Gammaitoni, L, Gaonkar, Sg, Garcia-Quiros, C, Garufi, F, Gateley, B, Gaudio, S, Gaur, G, Gayathri, V, Gemme, G, Genin, E, Gennai, A, George, D, George, J, Gergely, L, Ghonge, S, Ghosh, A, Ghosh, S, Giacomazzo, B, Giaime, Ja, Giardina, Kd, Gibson, Dr, Gill, K, Glover, L, Gniesmer, J, Godwin, P, Goetz, E, Goetz, R, Goncharov, B, Gonzalez, G, Castro, Jmg, Gopakumar, A, Gossan, Se, Gosselin, M, Gouaty, R, Grace, B, Grado, A, Granata, M, Grant, A, Gras, S, Grassia, P, Gray, C, Gray, R, Greco, G, Green, Ac, Green, R, Gretarsson, Em, Grimaldi, A, Grimm, Sj, Groot, P, Grote, H, Grunewald, S, Gruning, P, Guidi, Gm, Gulati, Hk, Guo, Y, Gupta, A, Gupta, P, Gustafson, Ek, Gustafson, R, Haegel, L, Halim, O, Hall, Br, Hall, Ed, Hamilton, Ez, Hammond, G, Haney, M, Hanke, Mm, Hanks, J, Hanna, C, Hannuksela, Oa, Hansen, Tj, Hanson, J, Harder, T, Hardwick, T, Haris, K, Harms, J, Harry, Gm, Harry, Iw, Hasskew, Rk, Haster, Cj, Haughian, K, Hayes, Fj, Healy, J, Heidmann, A, Heintze, Mc, Heitmann, H, Hellman, F, Hello, P, Hemming, G, Hendry, M, Heng, I, Hennig, J, Heurs, M, Hild, S, Hinderer, T, Hochheim, S, Hofman, D, Holgado, Am, Holland, Na, Holt, K, Holz, De, Hopkins, P, Horst, C, Hough, J, Howell, Ej, Hoy, Cg, Huang, Y, Hubner, Mt, Huerta, Ea, Huet, D, Hughey, B, Hui, V, Husa, S, Huttner, Sh, Huynh-Dinh, T, Idzkowski, B, Iess, A, Inchauspe, H, Ingram, C, Inta, R, Intini, G, Irwin, B, Isa, Hn, Isac, Jm, Isi, M, Iyer, Br, Jacqmin, T, Jadhav, Sj, Jani, K, Janthalur, Nn, Jaranowski, P, Jariwala, D, Jenkins, Ac, Jiang, J, Johnson, D, Jones, Aw, Jones, Di, Jones, Jd, Jones, R, Jonker, Rjg, Ju, L, Junker, J, Kalaghatgi, Cv, Kalogera, V, Kamai, B, Kandhasamy, S, Kang, G, Kanner, Jb, Kapadia, Sj, Karki, S, Kashyap, R, Kasprzack, M, Katsanevas, S, Katsavounidis, E, Katzman, W, Kaufer, S, Kawabe, K, Keerthana, Nv, Kefelian, F, Keitel, D, Kennedy, R, Key, J, Khalili, Fy, Khan, I, Khan, S, Khazanov, Ea, Khetan, N, Khursheed, M, Kijbunchoo, N, Kim, C, Kim, Jc, Kim, K, Kim, W, Kim, Ym, Kimball, C, King, Pj, Kinley-Hanlon, M, Kirchhoff, R, Kissel, J, Kleybolte, L, Klika, Jh, Klimenko, S, Knowles, Td, Koch, P, Koehlenbeck, Sm, Koekoek, G, Koley, S, Kondrashov, V, Kontos, A, Koper, N, Korobko, M, Korth, Wz, Kovalam, M, Kozak, Db, Kramer, C, Kringel, V, Krishnendu, N, Krolak, A, Krupinski, N, Kuehn, G, Kumar, A, Kumar, P, Kumar, R, Kuo, L, Kutynia, A, Kwang, S, Lackey, Bd, Laghi, D, Lai, Kh, Lam, Tl, Landry, M, Lane, Bb, Lang, Rn, Lange, J, Lantz, B, Lanza, Rk, Lartaux-Vollard, A, Lasky, Pd, Laxen, M, Lazzarini, A, Lazzaro, C, Leaci, P, Leavey, S, Lecoeuche, K, Lee, Ch, Lee, Hk, Lee, Hm, Lee, Hw, Lee, J, Lee, K, Lehmann, J, Lenon, Ak, Leroy, N, Letendre, N, Levin, Y, Li, A, Li, J, Li, Kjl, Li, Tgf, Li, X, Lin, F, Linde, F, Linker, Sd, Littenberg, Tb, Liu, J, Liu, X, Llorens-Monteagudo, M, Lo, Rkl, London, Lt, Longo, A, Lorenzini, M, Loriette, V, Lormand, M, Losurdo, G, Lough, Jd, Lousto, Co, Lovelace, G, Lower, Me, Luck, H, Lumaca, D, Lundgren, Ap, Lynch, R, Ma, Y, Macas, R, Macfoy, S, Macinnis, M, Macleod, Dm, Macquet, A, Hernandez, Im, Magana-Sandoval, F, Magee, Rm, Majorana, E, Maksimovic, I, Malik, A, Man, N, Mandic, V, Mangano, V, Mansell, Gl, Manske, M, Mantovani, M, Mapelli, M, Marchesoni, F, Marion, F, Marka, S, Marka, Z, Markakis, C, Markosyan, A, Markowitz, A, Maros, E, Marquina, A, Marsat, S, Martelli, F, Martin, Iw, Martin, Rm, Martinez, V, Martynov, Dv, Masalehdan, H, Mason, K, Massera, E, Masserot, A, Massinger, Tj, Masso-Reid, M, Mastrogiovanni, S, Matas, A, Matichard, F, Matone, L, Mavalvala, N, Mccann, Jj, Mccarthy, R, Mcclelland, De, Mccormick, S, Mcculler, L, Mcguire, Sc, Mcisaac, C, Mciver, J, Mcmanus, Dj, Mcrae, T, Mcwilliams, St, Meacher, D, Meadors, Gd, Mehmet, M, Mehta, Ak, Meidam, J, Villa, Em, Melatos, A, Mendell, G, Mercer, Ra, Mereni, L, Merfeld, K, Merilh, El, Merzougui, M, Meshkov, S, Messenger, C, Messick, C, Messina, F, Metzdorff, R, Meyers, Pm, Meylahn, F, Miani, A, Miao, H, Michel, C, Middleton, H, Milano, L, Miller, L, Millhouse, M, Mills, Jc, Milovich-Goff, Mc, Minazzoli, O, Minenkov, Y, Mishkin, A, Mishra, C, Mistry, T, Mitra, S, Mitrofanov, Vp, Mitselmakher, G, Mittleman, R, Mo, G, Moffa, D, Mogushi, K, Mohapatra, Srp, Molina-Ruiz, M, Mondin, M, Montani, M, Moore, Cj, Moraru, D, Morawski, F, Moreno, G, Morisaki, S, Mours, B, Mow-Lowry, M, Muciaccia, F, Mukherjee, A, Mukherjee, D, Mukherjee, S, Mukund, N, Mullavey, A, Munch, J, Muniz, Ea, Muratore, M, Murray, Pg, Nagar, A, Nardecchia, I, Naticchioni, L, Nayak, Rk, Neil, Bf, Neilson, J, Nelemans, G, Nelson, Tjn, Nery, M, Neunzert, A, Nevin, L, Ng, Ky, Ng, S, Nguyen, C, Nguyen, P, Nichols, D, Nichols, Sa, Nissanke, S, Nocera, F, North, C, Nuttall, Lk, Obergaulinger, M, Oberling, J, O'Brien, Bd, Oganesyan, G, Ogin, Gh, Oh, Jj, Oh, Sh, Ohme, F, Ohta, H, Okada, Ma, Oliver, M, Oppermann, P, Oram, Rj, O'Reilly, B, Ormiston, Rg, Ortega, Lf, O'Shaughnessy, R, Ossokine, S, Ottaway, Dj, Overmier, H, Owen, Bj, Pace, Ae, Pagano, G, Page, Ma, Pagliaroli, G, Pai, A, Pai, Sa, Palamos, Jr, Palashov, O, Palomba, C, Pan, H, Panda, Pk, Pang, Pth, Pankow, C, Pannarale, F, Pant, Bc, Paoletti, F, Paoli, A, Parida, A, Parker, W, Pascucci, D, Pasqualetti, A, Passaquieti, R, Passuello, D, Patil, M, Patricelli, B, Payne, E, Pearlstone, Bl, Pechsiri, Tc, Pedersen, Aj, Pedraza, M, Pedurand, R, Pele, A, Penn, S, Perego, A, Perez, Cj, Perigois, C, Perreca, A, Petermann, J, Pfeiffer, Hp, Phelps, M, Phukon, K, Piccinni, Oj, Pichot, M, Piergiovanni, F, Pierro, V, Pillant, G, Pinard, L, Pinto, Im, Pirello, M, Pitkin, M, Plastino, W, Pong, Dyt, Ponrathnam, S, Popolizio, P, Porter, Ek, Powell, J, Prajapati, Ak, Prasad, J, Prasai, K, Prasanna, R, Pratten, G, Prestegard, T, Principe, M, Prodi, Ga, Prokhorov, L, Punturo, M, Puppo, P, Purrer, M, Qi, H, Quetschke, V, Quinonez, Pj, Raab, Fj, Raaijmakers, G, Radkins, H, Radulesco, N, Raffai, P, Raja, S, Rajan, C, Rajbhandari, B, Rakhmanov, M, Ramirez, Ke, Ramos-Buades, A, Rana, J, Rao, K, Rapagnani, P, Raymond, V, Razzano, M, Read, J, Regimbau, T, Rei, L, Reid, S, Reitze, Dh, Rettegno, P, Ricci, F, Richardson, Cj, Richardson, Jw, Ricker, Pm, Riemenschneider, G, Riles, K, Rizzo, M, Robertson, Na, Robinet, F, Rocchi, A, Rolland, L, Rollins, Jg, Roma, Vj, Romanelli, M, Romano, R, Romel, Cl, Romie, Jh, Rose, Ca, Rose, D, Rose, K, Rosinska, D, Rosofsky, Sg, Ross, Mp, Rowan, S, Rudiger, A, Ruggi, P, Rutins, G, Ryan, K, Sachdev, S, Sadecki, T, Sakellariadou, M, Salafia, O, Salconi, L, Saleem, M, Samajdar, A, Sammut, L, Sanchez, Ej, Sanchez, Le, Sanchis-Gual, N, Sanders, Jr, Santiago, Ka, Santos, E, Sarin, N, Sassolas, B, Saulson, Pr, Sauter, O, Savage, Rl, Schale, P, Scheel, M, Scheuer, J, Schmidt, P, Schnabel, R, Schofield, Rm, Schonbeck, A, Schreiber, E, Schulte, Bw, Schutz, Bf, Scott, J, Scott, Sm, Seidel, E, Sellers, D, Sengupta, A, Sennett, N, Sentenac, D, Sequino, V, Sergeev, A, Setyawati, Y, Shaddock, Da, Shaffer, T, Shahriar, M, Shaner, Mb, Sharma, A, Sharma, P, Shawhan, P, Shen, H, Shink, R, Shoemaker, Dh, Shoemaker, Dm, Shukla, K, Shyamsundar, S, Siellez, K, Sieniawska, M, Sigg, D, Singer, Lp, Singh, D, Singh, N, Singhal, A, Sintes, Am, Sitmukhambetov, S, Skliris, V, Slagmolen, Bjj, Slaven-Blair, Tj, Smith, Jr, Smith, Rje, Somala, S, Son, Ej, Soni, S, Sorazu, B, Sorrentino, F, Souradeep, T, Sowell, E, Spencer, Ap, Spera, M, Srivastava, Ak, Srivastava, V, Staats, K, Stachie, C, Standke, M, Steer, Da, Steinke, M, Steinlechner, J, Steinlechner, S, Steinmeyer, D, Stevenson, Sp, Stocks, D, Stone, R, Stops, Dj, Strain, Ka, Stratta, G, Strigin, Se, Strunk, A, Sturani, R, Stuver, Al, Sudhir, V, Summerscales, Tz, Sun, L, Sunil, S, Sur, A, Suresh, J, Sutton, Pj, Swinkels, Bl, Szczepanczyk, Mj, Tacca, M, Tait, Sc, Talbot, C, Tanner, Db, Tao, D, Tapai, M, Tapia, A, Tasson, Jd, Taylor, R, Tenorio, R, Terkowski, L, Thomas, M, Thomas, P, Thondapu, Sr, Thorne, Ka, Thrane, E, Tiwari, S, Tiwari, V, Toland, K, Tonelli, M, Tornasi, Z, Torres-Forne, A, Torrie, Ci, Toyra, D, Travasso, F, Traylor, G, Tringali, Mc, Tripathee, A, Trovato, A, Trozzo, L, Tsang, Kw, Tse, M, Tso, R, Tsukada, L, Tsuna, D, Tsutsui, T, Tuyenbayev, D, Ueno, K, Ugolini, D, Unnikrishnan, C, Urban, Al, Usman, Sa, Vahlbruch, H, Vajente, G, Valdes, G, Valentini, M, van Bakel, N, van Beuzekom, M, van den Brand, Jfj, Van Den Broeck, C, Vander-Hyde, Dc, van der Schaaf, L, Vanheijningen, Jv, van Veggel, Aa, Vardaro, M, Varma, V, Vass, S, Vasuth, M, Vecchio, A, Vedovato, G, Veitch, J, Veitch, Pj, Venkateswara, K, Venugopalan, G, Verkindt, D, Vetrano, F, Vicere, A, Viets, Ad, Vinciguerra, S, Vine, Dj, Vinet, Jy, Vitale, S, Vo, T, Vocca, H, Vorvick, C, Vyatchanin, Sp, Wade, Ar, Wade, Le, Wade, M, Walet, R, Walker, M, Wallace, L, Walsh, S, Wang, H, Wang, Jz, Wang, S, Wang, Wh, Wang, Yf, Ward, Rl, Warden, Za, Warner, J, Was, M, Watchi, J, Weaver, B, Wei, Lw, Weinert, M, Weinstein, Aj, Weiss, R, Wellmann, F, Wen, L, Wessel, K, Wessels, P, Westhouse, Jw, Wette, K, Whelan, Jt, Whiting, Bf, Whittle, C, Wilken, Dm, Williams, D, Williamson, Ar, Willis, Jl, Willke, B, Winkler, W, Wipf, Cc, Wittel, H, Woan, G, Woehler, J, Wofford, Jk, Wright, Jl, Wu, D, Wysocki, Dm, Xiao, S, Xu, R, Yamamoto, H, Yancey, Cc, Yang, L, Yang, Y, Yang, Z, Yap, Mj, Yazback, M, Yeeles, Dw, Yu, H, Yu, Hc, Yuen, Shr, Zadrozny, Ak, Zadrozny, A, Zanolin, M, Zelenova, T, Zendri, Jp, Zevin, M, Zhang, J, Zhang, L, Zhang, T, Zhao, C, Zhao, G, Zhou, M, Zhou, Z, Zhu, Xj, Zimmerman, Ab, Zucker, Me, Zweizig, J, (Astro)-Particles Physics, Arzoumanian, Z, Bogdanov, S, Cognard, I, Corongiu, A, Enoto, T, Freire, P, Gendreau, Kc, Guillemot, L, Harding, Ak, Jankowski, F, Keith, Mj, Kerr, M, Lyne, A, Palfreyman, J, Possenti, A, Ridolfi, A, Stappers, B, Theureau, G, Weltervrede, P, Université de Lyon-Université de Lyon-Institut National de Physique Nucléaire et de Physique des Particules du CNRS (IN2P3)-Centre National de la Recherche Scientifique (CNRS)-Centre National de la Recherche Scientifique (CNRS), Observatoire de Paris, Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Paris Diderot - Paris 7 (UPD7)-Centre National de la Recherche Scientifique (CNRS)-Institut National de Physique Nucléaire et de Physique des Particules du CNRS (IN2P3), Institut national des sciences de l'Univers (INSU - CNRS)-Centre National de la Recherche Scientifique (CNRS)-Université d'Orléans (UO)-Observatoire de Paris, Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National de la Recherche Scientifique (CNRS)-Université d'Orléans (UO)-Observatoire de Paris, Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Institut national des sciences de l'Univers (INSU - CNRS)-Observatoire de Paris, Centre National de la Recherche Scientifique (CNRS)-Institut National de Physique Nucléaire et de Physique des Particules du CNRS (IN2P3)-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Université de Lyon, Centre National de la Recherche Scientifique (CNRS)-Institut National de Physique Nucléaire et de Physique des Particules du CNRS (IN2P3)-Université Paris-Sud - Paris 11 (UP11), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-Université de Paris (UP), Centre National de la Recherche Scientifique (CNRS)-Observatoire de Paris, Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Institut national des sciences de l'Univers (INSU - CNRS)-Observatoire des Sciences de l'Univers en région Centre (OSUC), Université Paris sciences et lettres (PSL)-Université d'Orléans (UO)-Centre National de la Recherche Scientifique (CNRS)-Université d'Orléans (UO), and Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Diderot - Paris 7 (UPD7)
Subjects: Known Pulsars, 010504 meteorology & atmospheric sciences, Astronomy, Astrophysics, Table (information), Vela, gravitational waves, pulsars, 01 natural sciences, Pulsar, 0103 physical sciences, Limit (mathematics), 010303 astronomy & astrophysics, gravitational wave, ComputingMilieux_MISCELLANEOUS, 0105 earth and related environmental sciences, Physics, [PHYS]Physics [physics], Gravitational wave, Two Harmonics, Astronomy and Astrophysics, Gravitational Waves, Known Pulsars, Two Harmonics, Erratum, LIGO, Amplitude, Space and Planetary Science, Erratum, Glitch (astronomy), [PHYS.ASTR]Physics [physics]/Astrophysics [astro-ph]
Abstract: Two analysis errors have been identified that affect the results for a handful of the high-value pulsars given in Table 1 of Abbott et al. (2019). One affects the Bayesian analysis for the five pulsars that glitched during the analysis period, and the other affects the 5n-vector analysis for J0711-6830. Updated results after correcting the errors are shown in Table 1, which now supersedes the results given for those pulsars in Table 1 of Abbott et al. (2019). Updated versions of figures can be seen in Figures 1-4. Bayesian analysis.-For the glitching pulsars, the signal phase evolution caused by the glitch was wrongly applied twice and was therefore not consistent with our expected model of the pulsar phase. This error did not affect the F/G-statistic or 5n-vector analysis. Analyses of the five pulsars PSR J0205+6449, PSR J0534+2200, PSR J0835-4510, PSR J1028-5819, and PSR J1718-3825 have been repeated after correcting for the error. There are small quantitative differences in the results, but the changes do not affect the main conclusions of the paper. The largest differences are for PSR J0835-4510 (the Vela pulsar), for which the updated upper limits from the Bayesian method are found to be between 1.1 and 2 times larger than those obtained when the error was present. This appears primarily to be due to the error leading to the decohering of a strong spectral line in the LIGO Livingston detector and thus lowering the amplitude limit. 5n-vector analysis.-An error was also identified in the settings of the 5n-vector analysis, which affected the upper limit computation at the rotation frequency for C21 95% of J0711-6830. Specifically, we found an incorrect choice for the range of amplitudes used to inject simulated signals in the O2 data. The updated upper limit is about 2.5 times worse than that obtained when the error was present. This error did not affect the Bayesian or F/G-statistic results. (Table Presented) (Figure Presented).
Published: 2020
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29. Scattering theory for the Klein-Gordon equation with nondecreasing potentials

Author: Arredondo R, Juan [Departamento de Matematicas, Universidad Autonoma Metropolitana-Iztapalapa, Av. San Rafael Atlixco, 186. Col. Vicentina, C.P. 09340, Del. Iztapalapa, Mexico D.F. (Mexico)]
Published: 2008
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30. Supersolitons: Solitonic Excitations in Atomic Soliton Chains

Author: Perez-Garcia, Victor [Departamento de Matematicas, E.T.S.I. Industriales, and Instituto de Matematica Aplicada a la Ciencia y la Ingenieria, Universidad de Castilla-La Mancha, Avenida Camilo Jose Cela, 3, 13071 Ciudad Real (Spain)]
Published: 2008
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31. A Representation for Solutions of Sturm-Liouville Equations and its Application for Solving Boundary Value and Spectral Problems

Author: Kravchenko, Vladislav [Departamento de Matematicas, CINVESTAV del IPN, Unidad Queretaro, Libramiento Norponiente No. 2000, Fracc. Real de Juriquilla, Queretaro, Qro. C.P. 76230 (Mexico)]
Published: 2008
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32. Two Person Zero-Sum Semi-Markov Games with Unknown Holding Times Distribution on One Side: A Discounted Payoff Criterion

Author: Luque-Vasquez, Fernando [Universidad de Sonora, Departamento de Matematicas (Mexico)]
Published: 2008
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33. Characterizations of Overtaking Optimality for Controlled Diffusion Processes

Author: Hernandez-Lerma, Onesimo [CINVESTAV-IPN, Departamento de Matematicas (Mexico)]
Published: 2008
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34. Superintegrability and quasi-exactly solvable eigenvalue problems

Author: Pogosyan, G [Universidad de Guadalajara, Departamento de Matematicas, CUCEI (Mexico)]
Published: 2008
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35. On a class of three points cell-average multiresolution schemes

Author: Juan Ruiz, Juan Carlos Trillo, Sergio Amat, María Moncayo, Jacques Liandrat, Departamento de Matematica Aplicada y Estadistica, Universidad Politecnica de Cartagena, Universidad Politécnica de Cartagena / Technical University of Cartagena (UPCT), Institut de Mathématiques de Marseille (I2M), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Departamento de Matematicas [Alcala de Henares], Universidad de Alcalá - University of Alcalá (UAH), Programa de Apoyo a la investigacion de la fundacion Seneca-Agencia de Ciencia y Tecnologia de la Region de Murcia, 19374/PI714, MINECO/FEDER, MTM2015-64382-P, MICINN-FEDER (Spain), MTM2010-17508, Spanish grant 08662/PI/08, Technical University of Cartagena (UPTC), and Centre National de la Recherche Scientifique (CNRS)-École Centrale de Marseille (ECM)-Aix Marseille Université (AMU)
Subjects: General Computer Science, Computer science, Cell-average framework, Monotonic function, 010103 numerical & computational mathematics, Classification of discontinuities, 01 natural sciences, Stability (probability), Theoretical Computer Science, Gibbs phenomenon, symbols.namesake, Multiresolution schemes, Convergence (routing), Applied mathematics, 0101 mathematics, Subdivision, Numerical Analysis, 65D17, business.industry, Nonlinear means, Applied Mathematics, Adaptive reconstructions, 010101 applied mathematics, Nonlinear system, Modeling and Simulation, Piecewise, symbols, Subdivision schemes, business, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]
Abstract: International audience; This paper is devoted to the construction and analysis of a new family of three-points nonlinear cell-average subdivision (multiresolution) schemes. They are based on a centered piecewise nonlinear reconstruction adapted to discontinuities. Some theoretical properties of these schemes (convergence, order of approximation, preservation of the monotonicity in the data, stability or absence of the Gibbs phenomenon) are analyzed. Finally, various numerical examples are presented. (C) 2017 International Association for Mathematics and Computers in Simulation (IMACS).
Published: 2018
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36. Collapse in boson-fermion mixtures with all-repulsive interactions

Author: Vekslerchik, Vadym [ETS de Ingenieros Industriales, Departamento de Matematicas, and Instituto de Matematica Aplicada a la Ciencia y la Ingenieria, Universidad de Castilla-la Mancha, Avenida Camilo Jose Cela, 3, 13071 Ciudad Real (Spain)]
Published: 2007
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37. Lower bounds on concurrence and separability conditions

Author: Vicente, Julio [Departamento de Matematicas, Universidad Carlos III de Madrid, Avenida de la Universidad 30, 28911 Leganes, Madrid (Spain)]
Published: 2007
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38. Stabilization of high-order solutions of the cubic nonlinear Schroedinger equation

Author: Perez-Garcia, Victor [Departamento de Matematicas, E. T. S. Ingenieros Industriales and Instituto de Matematica Aplicada a la Ciencia y la Ingenieria (IMACI), Avda. Camilo Jose Cela, 3, Universidad de Castilla-La Mancha, 13071 Ciudad Real (Spain)]
Published: 2007
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39. Matter-wave solitons supported by dissipation

Author: Perez-Garcia, Victor [Departamento de Matematicas, Escuela Tecnica Superior de Ingenieros Industriales, Universidad de Castilla-La Mancha, 13071 Ciudad Real (Spain)]
Published: 2006
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40. Symbiotic solitons in heteronuclear multicomponent Bose-Einstein condensates

Author: Beitia, Juan [Departamento de Matematicas, Escuela Tecnica Superior de Ingenieros Industriales, Universidad de Castilla-La Mancha, 13071 Ciudad Real (Spain)]
Published: 2005
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41. Some properties of the Cauchy-type integral for the Laplace vector fields theory

Author: Shapiro, Michael [Departamento de Matematicas, Escuela Superior de Fisica y Mathematicas, 07300 Mexico, D.F. (Mexico)]
Published: 2004
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42. Internal null controllability of the generalized Hirota-Satsuma system

Author: Nicolás Carreño, Eduardo Cerpa, Emmanuelle Crépeau, Departamento de Matematicas, Univesidad Tecnica Federico Santa-Maria (Valparaiso), Univesidad Federico Santa-Maria, Valparaiso, Chile, Departamento de Matematica, Universidad Tecnica Federico Santa Maria, Universidad Tecnica Federico Santa Maria [Valparaiso] (UTFSM), Equations aux Dérivées Partielles (EDP), Laboratoire Jean Kuntzmann (LJK), Institut National de Recherche en Informatique et en Automatique (Inria)-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP ), Université Grenoble Alpes (UGA)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP ), Université Grenoble Alpes (UGA), Equations aux Dérivées Partielles [2020-....] (EDP [2020-....]), Laboratoire Jean Kuntzmann [2020-....] (LJK [2020-....]), Institut National de Recherche en Informatique et en Automatique (Inria)-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes [2020-....] (UGA [2020-....])-Institut polytechnique de Grenoble - Grenoble Institute of Technology [2020-....] (Grenoble INP [2020-....]), Université Grenoble Alpes [2020-....] (UGA [2020-....])-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes [2020-....] (UGA [2020-....])-Institut polytechnique de Grenoble - Grenoble Institute of Technology [2020-....] (Grenoble INP [2020-....]), Université Grenoble Alpes [2020-....] (UGA [2020-....]), Laboratoire de Mathématiques de Versailles (LMV), Université de Versailles Saint-Quentin-en-Yvelines (UVSQ)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), Equations aux Dérivées Partielles [2016-2019] (EDP [2016-2019]), Laboratoire Jean Kuntzmann [2016-2019] (LJK [2016-2019]), and Institut polytechnique de Grenoble - Grenoble Institute of Technology [2007-2019] (Grenoble INP [2007-2019])-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes [2016-2019] (UGA [2016-2019])-Institut polytechnique de Grenoble - Grenoble Institute of Technology [2007-2019] (Grenoble INP [2007-2019])-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes [2016-2019] (UGA [2016-2019])
Subjects: Inverse function theorem, 0209 industrial biotechnology, Control and Optimization, 010102 general mathematics, Linear system, Null (mathematics), Duality (optimization), 02 engineering and technology, Carleman estimates, 01 natural sciences, null controllability, Controllability, Computational Mathematics, Nonlinear system, 020901 industrial engineering & automation, Nonlinear Sciences::Exactly Solvable and Integrable Systems, Control and Systems Engineering, Bounded function, Korteweg-de Vries equation, Applied mathematics, [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC], 0101 mathematics, [MATH]Mathematics [math], Korteweg–de Vries equation, Mathematics
Abstract: International audience; The generalized Hirota-Satsuma system consists of three coupled nonlinear Korteweg-de Vries (KdV) equations. By using two distributed controls it is proven in this paper that the local null controllability property holds when the system is posed on a bounded interval. First, the system is linearized around the origin obtaining two decoupled subsystems of third order dispersive equations. This linear system is controlled with two inputs, which is optimal. This is done with a duality approach and some appropriate Carleman estimates. Then, by means of an inverse function theorem, the local null controllability of the nonlinear system is proven.
Published: 2020
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43. The turnpike property and the long-time behavior of the Hamilton-Jacobi-Bellman equation for finite-dimensional LQ control problems

Author: Esteve, Carlos, Kouhkouh, Hicham, Pighin, Dario, Zuazua, Enrique, Departemento de Matematicas, Universidad Autonoma de Madrid (UAM), Friedrich-Alexander Universität Erlangen-Nürnberg (FAU), Chair of Computational Mathematics, Fundación Deusto, Departamento de Matematicas [Madrid], and Pighin, Dario
Subjects: Mathematics - Analysis of PDEs, Optimization and Control (math.OC), FOS: Mathematics, 49N25, 49N20, 34H05, 37J25, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], [MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC], [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC], [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], Mathematics - Optimization and Control, Analysis of PDEs (math.AP)
Abstract: We analyze the consequences that the so-called turnpike property has on the long-time behavior of the value function corresponding to a finite-dimensional linear-quadratic optimal control problem with general terminal cost and constrained controls. We prove that, when the time horizon $T$ tends to infinity, the value function asymptotically behaves as $W(x) + c\, T + \lambda$, and we provide a control interpretation of each of these three terms, making clear the link with the turnpike property. As a by-product, we obtain the long-time behavior of the solution to the associated Hamilton-Jacobi-Bellman equation in a case where the Hamiltonian is not coercive in the momentum variable. As a result of independent interest, we showed that linear-quadratic optimal control problems with constrained control enjoy a turnpike property, also particularly when the steady optimum may saturate the control constraints.
Published: 2020
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44. Regularization by Functions of Bounded Variation and Applications to Image Enhancement

Author: Pola, C [Departamento de Matematicas, Estadistica y Computacion, Facultad de Ciencias, Universidad de Cantabria, Av. Los Castros s/n, 39071 Santander (Spain)]
Published: 1999
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45. The fundamental group of a log terminal T-variety

Author: Laface, Antonio, Liendo, Alvaro, Moraga, Joaquín, Departamento de Matematicas, Universidad de Concepcion, Universidad de Concepción [Chile], Instituto de Matematica y Fisica, Universidad Talca, Department of Mathematics - University of Utah, University of Utah, and Comision Nacional de Investigacion Cientifica y Tecnologica (CONICYT)Anillo ACT 1415 PIAComision Nacional de Investigacion Cientifica y Tecnologica (CONICYT)CONICYT FONDECYT11608641150732
Subjects: Fundamental groups, Torus actions, T-varieties, [MATH]Mathematics [math]
Abstract: International audience; We introduce an approach to study the fundamental group of a log terminal T-variety. As applications, we prove the simply connectedness of the spectrum of the Cox ring of a complex Fano variety, we compute the fundamental group of a rational log terminal T-variety of complexity one, and we study the local fundamental group of a log terminal T-singularity with a good torus action and trivial GIT decomposition.
Published: 2019
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46. Anticipating Stochastic Differential Equations of Stratonovich Type

Author: Leon, J [Departamento de Matematicas, CINVESTAV-IPN, Apartado Postal 14-740, 07000 Mexico D.F. (Mexico)]
Published: 1997
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47. Contact exponent and the Milnor number of plane curve singularities

Author: Evelia Rosa Garcia Barroso, Arkadiusz Płoski, Krasiński, Tadeusz, Spodzieja, Stanisław, Departamento de Matematicas, Estadistica e I.O. Seccion de Matematicas, Universidad de La Laguna Apartado de Correos 456, and Department of Mathematics and Physics, Kielce University of Technology
Subjects: Mathematics::Algebraic Geometry
Abstract: We investigate properties of the contact exponent (in the sense of Hironaka [Hi]) of plane algebroid curve singularities over algebraically closed fields of arbitrary characteristic. We prove that the contact exponent is an equisingularity invariant and give a new proof of the stability of the maximal contact. Then we prove a bound for the Milnor number and determine the equisingularity class of algebroid curves for which this bound is attained. We do not use the method of Newton's diagrams. Our tool is the logarithmic distance developed in [GB-P1].
Published: 2019

48. Controlling recirculation rate in minimal-time bioremediation of natural water resources

Author: Riquelme, Victor, Rapaport, Alain, Departamento de Matematicas, Univesidad Tecnica Federico Santa-Maria (Valparaiso), Univesidad Federico Santa-Maria, Valparaiso, Chile, Mathématiques, Informatique et STatistique pour l'Environnement et l'Agronomie (MISTEA), Institut National de la Recherche Agronomique (INRA)-Institut national d’études supérieures agronomiques de Montpellier (Montpellier SupAgro), Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro), Institut national d’études supérieures agronomiques de Montpellier (Montpellier SupAgro)-Institut National de la Recherche Agronomique (INRA), Rapaport, Alain, Universidad Tecnica Frederico Santa Maria, and Partenaires INRAE
Subjects: [MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC], [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]
Abstract: International audience; We revisit the minimal time problem of in-situ decontamination of large water resources with a bioreactor, considering a recirculation flow rate in the resource as an additional control. This new problem has two manipulated inputs : 1. the flow rate of the treatment in thebioreactor (which enters nonlinearly in the dynamics because of the biological dependancy between the flow rate and the concentration at the output of the bioreactor) 2. the flow rate of the recirculation in the resource between the pumping and reinjection locations (which enters linearly the dynamics). Although the velocity set of the dynamics is non convex, we show that the optimal control is reached amongnon-relaxed controls. The optimal strategy consists in three sequential steps: 1. do not recirculate water and take the flow rate of treatment that maximizes the concentration decay in the resource. 2. recirculate water at maximum rate and carry on with the flow rate that maximizesthe concentration decay. 3. carry on with recirculation but do not treat the water (i.e. bypass the bioreactor). Finally, we show on numericalsimulations that significant gains in processing time can be achieved when controlling the recirculation flow rate.
Published: 2018

49. Technical specification IEC TS 62989:2018 – Primary optics for concentrator photovoltaic systems

Author: Sam Carter, César Domínguez, Hideto Kasai, Philippe Voarino, Jaione Bengoechea, David C. Miller, Ralf Leutz, Thorsten Hornung, Thomas Arndt, Rebeca Herrero, Peter Nitz, Marta Victoria, Steve Askins, René Kogler, Steve Scott, Evonik Industries AG [Darmstadt], Universidad Politécnica de Madrid (UPM), Centro Nacional de Energías Renovables - Fundación CENER-CIEMAT (CENER), RayGen Resources Pty Ltd [Blackburn], Departamento de Matematicas y Computacion (Department of Mathematics and Computer Science), Universidad de La Rioja (UR), Fraunhofer Institute for Solar Energy Systems (Fraunhofer ISE), Fraunhofer (Fraunhofer-Gesellschaft), Kuraray [Tokyo], leopil – Leutz Optics and Illumination UG [Munich], Proof search and reasoning with logic specifications (PARSIFAL), Laboratoire d'informatique de l'École polytechnique [Palaiseau] (LIX), École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS)-École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS)-Inria Saclay - Ile de France, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Orafol Americas, Inc [Avon], Département des Technologies Solaires (DTS), Laboratoire d'Innovation pour les Technologies des Energies Nouvelles et les nanomatériaux (LITEN), Institut National de L'Energie Solaire (INES), Centre National de la Recherche Scientifique (CNRS)-Université Savoie Mont Blanc (USMB [Université de Savoie] [Université de Chambéry])-Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Centre National de la Recherche Scientifique (CNRS)-Université Savoie Mont Blanc (USMB [Université de Savoie] [Université de Chambéry])-Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Institut National de L'Energie Solaire (INES), Centre National de la Recherche Scientifique (CNRS)-Université Savoie Mont Blanc (USMB [Université de Savoie] [Université de Chambéry])-Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Centre National de la Recherche Scientifique (CNRS)-Université Savoie Mont Blanc (USMB [Université de Savoie] [Université de Chambéry])-Commissariat à l'énergie atomique et aux énergies alternatives (CEA), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Savoie Mont Blanc (USMB [Université de Savoie] [Université de Chambéry])-Centre National de la Recherche Scientifique (CNRS)-Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Savoie Mont Blanc (USMB [Université de Savoie] [Université de Chambéry])-Centre National de la Recherche Scientifique (CNRS)-Institut National de L'Energie Solaire (INES), and Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Savoie Mont Blanc (USMB [Université de Savoie] [Université de Chambéry])-Centre National de la Recherche Scientifique (CNRS)-Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Savoie Mont Blanc (USMB [Université de Savoie] [Université de Chambéry])-Centre National de la Recherche Scientifique (CNRS)
Subjects: Measure (data warehouse), business.industry, Computer science, Energía Eléctrica, 020206 networking & telecommunications, 02 engineering and technology, Química, 021001 nanoscience & nanotechnology, Visual appearance, Encircled energy, [SPI]Engineering Sciences [physics], Optics, Documentation, 0202 electrical engineering, electronic engineering, information engineering, Key (cryptography), Round robin test, Concentrator photovoltaic, 0210 nano-technology, business, Product identification
Abstract: The first edition of the Technical Specification (TS) on Primary Optics for Concentrator Photovoltaic (CPV) Systems, IEC TS 62989:2018, has been published by the International Electrotechnical Commission (IEC), on March 8th, 2018. TS 62989 covers aspects related to the primary optics including: product identification, optical characteristics, mechanical characteristics, materials, (design) geometry, and visual appearance. This paper focuses on the key aspects of the norm, including optical performance, in order to promote the awareness and use of the standard. We describe the three methods intended to measure the key optical characteristics of the primary elements, i.e. focal spot size and optical efficiency, by using the encircled energy. The three methods are using different light sources, optical components and receiver sensors, but yielded very similar results in a round robin test. This justifies the continued use of all three methods. The use of a website (opticstests.pbworks.com) for documentation of discussions and references was novel to the standard development. The website proved to be useful for the introduction of new members of the group. The website helped to keep track of changes to the document as well as the required actions of the project team.The first edition of the Technical Specification (TS) on Primary Optics for Concentrator Photovoltaic (CPV) Systems, IEC TS 62989:2018, has been published by the International Electrotechnical Commission (IEC), on March 8th, 2018. TS 62989 covers aspects related to the primary optics including: product identification, optical characteristics, mechanical characteristics, materials, (design) geometry, and visual appearance. This paper focuses on the key aspects of the norm, including optical performance, in order to promote the awareness and use of the standard. We describe the three methods intended to measure the key optical characteristics of the primary elements, i.e. focal spot size and optical efficiency, by using the encircled energy. The three methods are using different light sources, optical components and receiver sensors, but yielded very similar results in a round robin test. This justifies the continued use of all three methods. The use of a website (opticstests.pbworks.com) for documentation ...
Published: 2018
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50. Twisted calculus

Author: Bernard Le Stum, Adolfo Quiros Gracian, Institut de Recherche Mathématique de Rennes (IRMAR), Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-École normale supérieure - Rennes (ENS Rennes)-Université de Rennes 2 (UR2)-Centre National de la Recherche Scientifique (CNRS)-INSTITUT AGRO Agrocampus Ouest, Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro), Departamento de Matematicas [Madrid], Universidad Autónoma de Madrid (UAM), AGROCAMPUS OUEST, Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Université de Rennes 1 (UR1), Université de Rennes (UNIV-RENNES)-Université de Rennes (UNIV-RENNES)-Université de Rennes 2 (UR2), Université de Rennes (UNIV-RENNES)-École normale supérieure - Rennes (ENS Rennes)-Centre National de la Recherche Scientifique (CNRS)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Université de Rennes (UNIV-RENNES)-Institut National des Sciences Appliquées (INSA), Universidad Autonoma de Madrid (UAM), Institut de Recherche Mathématique de Rennes ( IRMAR ), Université de Rennes 1 ( UR1 ), Université de Rennes ( UNIV-RENNES ) -Université de Rennes ( UNIV-RENNES ) -AGROCAMPUS OUEST-École normale supérieure - Rennes ( ENS Rennes ) -Institut National de Recherche en Informatique et en Automatique ( Inria ) -Institut National des Sciences Appliquées ( INSA ) -Université de Rennes 2 ( UR2 ), Université de Rennes ( UNIV-RENNES ) -Centre National de la Recherche Scientifique ( CNRS ), Departamento de Matemáticas, and Universidad Autonoma de Madrid ( UAM )
Subjects: Mathematics - Algebraic Geometry, Algebra and Number Theory, 010102 general mathematics, 0103 physical sciences, FOS: Mathematics, 010307 mathematical physics, [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG], 0101 mathematics, 01 natural sciences, Algebraic Geometry (math.AG), [ MATH.MATH-AG ] Mathematics [math]/Algebraic Geometry [math.AG]
Abstract: International audience; A twisted ring is a ring endowed with a family of endomorphisms satisfying certain relations. One may then consider the notions of twisted module and twisted differential module. We study them and show that, under some general hypothesis, the categories of twisted modules and integrable twisted differential modules are equivalent. As particular cases, one recovers classical results from the theory of finite difference equations or q-difference equations.
Published: 2018
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