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Let $f:M\to M$ be a $C^1$ map of a compact manifold $M$, with dimension at least $2$, admitting some point whose future trajectory has only negative Lyapunov exponents. Then this trajectory converges to a periodic sink. We need only assume that $Df$ is never the null map at any point (in particular, we need no extra smoothness assumption on $Df$), encompassing a wide class of possible critical behavior. Similarly, a trajectory having only positive Lyapunov exponents for a $C^1$ diffeomorphism is itself a periodic repeller (source). Analogously for a $C^1$ open and dense subset of vector field on finite dimensional manifolds: for a flow $\phi_t$ generated by such a vector field, if a trajectory admits weak asymptotic sectional contraction (the extreme rates of expansion of the Linear Poincar\'e Flow are all negative), then this trajectory belongs either to the basin of attraction of a periodic hyperbolic attracting orbit (a periodic sink or an attracting equilibrium); or the trajectory accumulates a codimension one saddle singularity. Similar results hold for weak sectional expanding trajectories. Both results extend part of the non-uniform hyperbolic theory (Pesin's Theory) from the $C^{1+}$ diffeomorphism setting to $C^1$ endomorphisms and $C^1$ flows. Some ergodic theoretical consequences are discussed. The proofs use versions of Pliss' Lemma for maps and flows translated as (reverse) hyperbolic times, and a result ensuring that certain subadditive cocycles over vector fields are in fact additive., Comment: 37 pages; 10 figures; presentation improved after referee's report and correction of imprecise statements of lemmas 3.3, 3.4 and 3.5, and small adjustements in the proofs. To appear in Osaka J Math 2020

We prove that a partially hyperbolic attracting set for a $C^2$ vector field, having slow recurrence to equilibria, supports an ergodic physical/SRB measure if, and only if, the trapping region admits non-uniform sectional expansion on a positive Lebesgue measure subset. Moreover, in this case, the attracting set supports at most finitely many ergodic physical/SRB measures, which are also Gibbs states along the central-unstable direction. This extends to continuous time systems a similar well-known result obtained for diffeomorphisms, encompassing the presence of equilibria accumulated by regular orbits within the attracting set., Comment: 29 pages, 4 figures

On a compact manifold of any dimension $d\geq 3$, we show that joint non-integrability of the stable and unstable foliation of a hyperbolic attractor with one-dimensional expanding direction, for a vector field of class $C^2$, implies exponential mixing with respect to its physical measure. Consequently, the set of Axiom A vector fields which mix exponentially with respect to the physical measure of its non-trivial attractors contains a $C^1$-open and $C^2$-dense subset of the set of all Axiom A vector fields. Moreover, for codimension one $C^2$ Anosov flows in any dimension $d\geq 3$, if the flow mixes with respect to the unique physical measure, then the flow mixes exponentially, proving the Bowen-Ruelle conjecture in this setting., Comment: A fatal flaw was found on a crucial lemma. The proof of the main statement as it stands is incomplete

There exists a $C^2$-open and $C^1$-dense subset of vector fields exhibiting singular-hyperbolic attracting sets (with codimension-two stable bundle), in any $d$-dimensional compact manifold ($d\ge3$), which mix exponentiallu with respect to any physical/SRB invariant probability measure. More precisely, we show that given any connected singular-hyperbolic attracting set for a $C^2$-vector field $X$, there exists a $C^1$-close multiple of $X$ of class $C^2$, generating a topologically equivalent flow, which is robustly exponentially mixing with respect to any physical measure for all vector fields in a $C^2$ neighborhood. That is, every singular-hyperbolic attracting set mixes exponentially with respect to its physical measures modulo an arbitrarily small change in the speed of the flow., Comment: A crucial lemma in the argument has a fatal flaw. The proof of the main statement as it stands is incomplete

For Hoelder cocycles over a Lipschitz base transformation, possibly non-invertible, we show that the subbundles given by the Oseledets Theorem are Hoelder-continuous on compact sets of measure arbitrarily close to 1. The results extend to vector bundle automorphisms, as well as to the Kontsevich-Zorich cocycle over the Teichmueller flow on the moduli space of abelian differentials. Following a recent result of Chaika-Eskin, our results also extend to any given Teichmueller disk., 29 pages; corrected a few typos and added several references and comments following referee suggestions (this is the final version content to appear in JLMS)

We prove existence of equilibrium states with special properties for a class of distance expanding local homeomorphisms on compact metric spaces and continuous potentials. Moreover, we formulate a C$^1$ generalization of Pesin's Entropy Formula: all ergodic weak-SRB-like measures satisfy Pesin's Entropy Formula for $C^1$ non-uniformly expanding maps. We show that for weak-expanding maps such that $\Leb$-a.e $x$ has positive frequency of hyperbolic times, then all the necessarily existing ergodic weak-SRB-like measures satisfy Pesin's Entropy Formula and are equilibrium states for the potential $\psi=-\log|\det Df|$. In particular, this holds for any $C^1$-expanding map and in this case the set of invariant probability measures that satisfy Pesin's Entropy Formula is the weak$^*$-closed convex hull of the ergodic weak-SRB-like measures., Comment: 47 pages, 5 figures. Content updated to last accepted version to appear in Math. Z

O Código Penal Brasileiro é a lei que determina quais os critérios para considerar um ato de um cidadão como criminoso e os critérios para responsabiliza-los por esses atos. Também determina os parâmetros do julgamento e da pena para cada crime. Neste estudo, a lei penal é analisada sob a perspectiva da Análise do Comportamento, usando como método a identificação de descrições de contingências de três termos e metacontingências nos artigos do código. O código aqui foi considerado como a descrição de contingências comportamentais e de práticas culturais. Foram identificadas descrições completas e incompletas de contingências individuais e de contingências entrelaçadas de comportamentos de cidadãos e agentes legais. Discute-se a efetividade do código em controlar o comportamento das pessoas, analisando a distribuição dos artigos e o tipo de controle que é exercido. Por fim, conclui-se que para que o Código Penal possa ser efetivo numa função de evitar comportamentos violentos e promover a segurança da população, ele não pode ser visto isoladamente. É fundamental entendê-lo como um elo de entrelaçamentos complexos que envolvem outras leis e outras práticas de agências não diretamente ligadas à formulação do Código, para que ele possa ter uma função preventiva. Palavras chave: Código Penal, Lei, Prática cultural, Metacontingência., The Brazilian Penal Code is the law that determines criteria for considering acts practiced by citizens as crimes as well as criteria to make them responsible for these acts. It also establishes judgement and sentences parameters for each crime. In this study, penal law is analyzed under the Behavior Analysis perspective, using, as method, the identification of contingencies descriptions of three terms and metacontingencies in the articles of the code. The code here was considered as a description of behavioral contingencies and cultural practices. Complete and incomplete descriptions were found of individual contingencies and interlocked contingencies of citizens’ behaviors and legal agents. The efficacy of the code in controlling people’s behavior is discussed by analyzing the distribution of the articles and the type of control exercised. Finally, it was concluded that, for the Penal Code to be effective in preventing violent behavior and promoting safety for the population, it cannot be analyzed in isolation. For it to have a preventive function, it is essential to understand it as part of a complex interlocking that involves other laws and other practices of agencies not directly connected to the formulation of the Code. Keywords: Penal Code, Law, Cultural Practice, Metacontingency.

This article aims to present a research and extension process involving the Federal University of Ceará and the community Lauro Vieira Chaves, from Fortaleza. Threatened by the removal of around four hundred families due to urban mobility works in Fortaleza, one of the headquarters of the World Cup, the community turned to the university for land regularization. From this meeting the project "If this street was ours" was born, with actions of art and urban resistance to give visibility to the place and to claim its permanence. During the process of realizing this project the university became involved with other demands of the community, such as strengthening the sense of resistance, identity and territoriality. As one of the results, there was a deviation from the Light Rail Vehicle route and only 66 families were removed to a nearby location. As a continuity, the project of a social interest publication entitled "Nossa Rua" is underway. Three parameters guide the project: content, language and distribution. The content addresses every process involving the community and the university. Language seeks to be a direct, sensitive and useful link between the experienced process and other communities facing similar situations. The distribution is intended to be freely accessible to cover its specific target audience and not limit its scope. In this way, social design, graphic design, urban art and urbanism are integrated into visual, individual and community repercussions, as it enables the understanding, in practice, of the responsibility and importance of participatory actions., This article presents the process of research and extension involving a public university and the community Lauro Vieira Chaves. That community was threatened with removal of about four hundred families due to urban mobility labor in Fortaleza, one of the host city for the 2014 World Cup, the community sought the university for land regularization. The project " If this street was our”, was born from this meeting with stocks of art and urban resistance to give visibility to the community and claim their permanency. During the process of completing this project the university was involved with other community demands, like to strengthen the sense of resistance, identity and territoriality. As a result, there was a deviation from the route of the light rail and only 66 families were removed to a nearby location. As a continuity is underway to design a publication of social interest titled "Our Street". Three parameters guide the project: content , language and distribution. The content covers the entire process involving the community and the university. The language aims to be a direct , sensitive and useful link between the experienced process and other communities facing similar situations. The distribution is intended to be virtually free access to cover your specific target audience and not limit their scope. Thus, social design , graphic design, street art and urbanism integrate visual, individual and community impact, by allowing the understanding, practice, responsibility and importance of participatory actions., Este artigo tem como objetivo apresentar um processo de pesquisa e extensão que envolve a Universidade Federal do Ceará e a comunidade Lauro Vieira Chaves, de Fortaleza. Ameaçada de remoção de cerca de quatrocentas famílias devido a obras de mobilidade urbana em Fortaleza, uma das sedes da Copa do Mundo, a comunidade buscou a universidade para a regularização fundiária. Desse encontro nasce o projeto "Se essa rua fosse nossa", com ações de arte e resistência urbana para dar visibilidade ao local e reivindicar sua permanência. Durante o processo de realização deste projeto a universidade se envolveu com outras demandas da comunidade, como fortalecer o sentido de resistência, identidade e territorialidade. Como um dos resultados, houve um desvio da rota do Veiculo Leve sobre Trilhos e apenas 66 famílias foram removidas para uma localidade próxima. Como continuidade, está em andamento o projeto de uma publicação de interesse social intitulada “Nossa Rua”. Três parâmetros guiam o projeto: o conteúdo, a linguagem e a distribuição. O conteúdo aborda todo processo que envolveu a comunidade e a universidade. A linguagem busca ser uma ligação direta, sensível e útil entre o processo vivenciado e outras comunidades que enfrentam situações semelhantes. A distribuição pretende ser de acesso livre virtualmente, para abranger o seu público alvo específico e não limitar seu alcance. Dessa forma, design social, design gráfico, arte urbana e urbanismo se integram em repercussões visuais, individuais e comunitárias, por possibilitar o entendimento, na prática, da responsabilidade e importância de ações participativas.

Texto completo: acesso restrito. p. 2391–2407 Submitted by Suelen Reis (suziy.ellen@gmail.com) on 2014-05-13T16:47:38Z No. of bitstreams: 1 0951-7715_26_8_2391.pdf: 294519 bytes, checksum: 22d6be8e86284f24b3258aaf103f25c7 (MD5) Made available in DSpace on 2014-05-13T16:47:38Z (GMT). No. of bitstreams: 1 0951-7715_26_8_2391.pdf: 294519 bytes, checksum: 22d6be8e86284f24b3258aaf103f25c7 (MD5) Previous issue date: 2013 We obtain sufficient conditions for an invariant splitting over a compact invariant subset of a C1 flow Xt to be dominated. In particular, we reduce the requirements to obtain sectional hyperbolicity and hyperbolicity.

Texto completo: acesso restrito. p. 863-897 Submitted by Suelen Reis (suziy.ellen@gmail.com) on 2014-04-01T14:23:53Z No. of bitstreams: 1 art%3A10.1007%2Fs00209-013-1163-8.pdf: 466195 bytes, checksum: b715bddd97e6fbd4adc2b2af32c81216 (MD5) Made available in DSpace on 2014-04-01T14:23:54Z (GMT). No. of bitstreams: 1 art%3A10.1007%2Fs00209-013-1163-8.pdf: 466195 bytes, checksum: b715bddd97e6fbd4adc2b2af32c81216 (MD5) Previous issue date: 2013 We present an extension of the notion of infinitesimal Lyapunov function to singular flows, and from this technique we deduce a characterization of partial/sectional hyperbolic sets. In absence of singularities, we can also characterize uniform hyperbolicity. These conditions can be expressed using the space derivative DX of the vector field X together with a field of infinitesimal Lyapunov functions only, and are reduced to checking that a certain symmetric operator is positive definite at the tangent space of every point of the trapping region.

Texto completo: acesso restrito. p. 215-246 Submitted by Edileide Reis (leyde-landy@hotmail.com) on 2014-08-13T14:30:38Z No. of bitstreams: 1 Vítor Araújo.pdf: 501928 bytes, checksum: f0bf4efdebfe0ce2c38a2d79b93312d8 (MD5) Made available in DSpace on 2014-08-13T14:30:38Z (GMT). No. of bitstreams: 1 Vítor Araújo.pdf: 501928 bytes, checksum: f0bf4efdebfe0ce2c38a2d79b93312d8 (MD5) Previous issue date: 2012 We construct open sets of C k (k ≥ 2) vector fields with singularities that have robust exponential decay of correlations with respect to the unique physical measure. In particular we prove that the geometric Lorenz attractor has exponential decay of correlations with respect to the unique physical measure.

International audience; no abstract

International audience; no abstract

International audience; no abstract

INTRODUÇÃO: O alongamento passivo ou estático (EAL) é frequentemente utilizado em programas de reabilitação e na área desportiva; porém, as alterações morfofuncionais ocorridas ainda não estão bem claras, principalmente após imobilização prolongada. OBJETIVOS: Examinar as alterações morfofuncionais musculares produzidas em resposta a três semanas de exercícios de EAL em um modelo animal de imobilização prolongada de membro posterior (MP) em posição encurtada. MÉTODOS: Foram utilizados 32 ratos Wistar divididos em quatro grupos (n = 8, em cada): A - grupo controle (CONT), B - grupo imobilizado por 21 dias (IMOB), C - grupo remobilizado por 21 dias (LIVRE), D - grupo alongados por 21 dias (ALONG). Foram comparadas as variações morfofuncionais entre grupos experimentais. As variáveis foram: peso corporal e muscular, comprimento muscular e ósseo, número de miofibrilas e quantidade de colágeno, determinadas através de histomorfometria muscular por contraste de cor. RESULTADOS: A IMOB do bíceps femoral em posição encurtada produziu uma importante hipotrofia com hiperplasia muscular compensatória, além do aumento (p < 0,05) na deposição de colágeno no perimísio e intramuscular de ratos. A remobilização livre ou o alongamento passivo reduziram significativamente (p < 0,05) estas alterações morfofuncionais observados no grupo IMOB. CONCLUSÃO: Através desses resultados, pode-se concluir que tanto o EAL quanto a remobilização livre promovem a restauração das alterações morfofuncionais no bíceps femoral esquerdo induzida pela imobilização prolongada, embora somente o EAL foi capaz de reduzir a relação entre colágeno/músculo. BACKGROUND: Passive or static stretching (ALMP) is often used in rehabilitation programs and in sports; however, the morphological changes occurred are not very clear, especially after prolonged immobilization. AIMS:This study aimed to examine the muscle morphological and functional changes produced in response to three weeks of ALMP in an animal model of prolonged immobilization of hind limb (HL) in the short range. METHODS: For this purpose, 32 rats (Wistar) were used and divided in 4 groups (n = 8 each): A- control group (CONT), B - immobilized group for 21 days (IMMOB), C - remobilized group for 21 days (FREE), D - elongated group for 21 days (ELONG). The variables evaluated were body weight and muscle mass, muscle and bone length, number of myofibrils and quantity of collagen, determined by histomorphometry muscle by color contrast. The morphological variations between all the experimental groups were compared. RESULTS: The IMMOB of the femoral biceps in shortened position produced important muscular atrophy with compensatory hyperplasia, and increase (p

We show that the time-1 map of an Anosov flow, whose strong-unstable foliation is $C^2$ smooth and minimal, is $C^2$ close to a diffeomorphism having positive central Lyapunov exponent Lebesgue almost everywhere and a unique physical measure with full basin, which is $C^r$ stably ergodic. Our method is perturbative and does not rely on preservation of a smooth measure., Comment: 27 pages, 5 figures; main theorem with strong hypothesis; proofs corrected

We describe some recent results on the dynamics of singular-hyperbolic (or Lorenz-like) attractors: attractors in this class are expansive and so sensitive with respect to initial data; they admit a unique physical measure whose support is the whole attractor, which is hyperbolic and the equilibrium state with respect to the center-unstable Jacobian; the hitting time associated to a geometric Lorenz attractor satisfies a logarithm law; the rate of large deviations for the physical measure on the ergodic basin of a geometric Lorenz attractor is exponential., 19 pages, 6 figures, short survey paper for the Springer Proceedings associated to the DYNA2008 Conference: Dynamics & Applications in honour of Mauricio Peixoto and David Rand

After reviewing known results on sensitiveness and also on robustness of attractors together with observations on their proofs, we show that for attractors of three-dimensional flows, robust chaotic behavior meaning sensitiveness to initial conditions for the past as well for the future for all nearby flows) is equivalent to the existence of certain hyperbolic structures. These structures, in turn, are associated to the existence of physical measures. In short in low dimensions, robust chaotic behavior for smooth flows ensures the existence of a physical measure., Comment: 18 pages; 6 figures. To: Modelling, Optimization and BioEconomy, Eds. Alberto Pinto and David Zilberman. arXiv admin note: substantial text overlap with arXiv:math/0403273

The theory of uniformly hyperbolic dynamical systems was initiated in the 1960's (though its roots stretch far back into the 19th century) by S. Smale, his students and collaborators, in the west, and D. Anosov, Ya. Sinai, V. Arnold, in the former Soviet Union. It came to encompass a detailed description of a large class of systems, often with very complex evolution. Moreover, it provided a very precise characterization of structurally stable dynamics, which was one of its original main goals. The early developments were motivated by the problem of characterizing structural stability of dynamical systems, a notion that had been introduced in the 1930's by A. Andronov and L. Pontryagin. Inspired by the pioneering work of M. Peixoto on circle maps and surface flows, Smale introduced a class of gradient-like systems, having a finite number of periodic orbits, which should be structurally stable and, moreover, should constitute the majority (an open and dense subset) of all dynamical systems. Stability and openness were eventually established, in the thesis of J. Palis. However, contemporary results of M. Levinson, based on previous work by M. Cartwright and J. Littlewood, provided examples of open subsets of dynamical systems all of which have an infinite number of periodic orbits., Comment: 22 pages, 5 figures, enciclopedia article

The concept of random dynamical system is a comparatively recent development combining ideas and methods from the well developed areas of probability theory and dynamical systems. Due to our inaccurate knowledge of the particular physical system or due to computational or theoretical limitations (lack of sufficient computational power, inefficient algorithms or insufficiently developed mathematical or physical theory, for example), the mathematical models never correspond exactly to the phenomenon they are meant to model. Moreover when considering practical systems we cannot avoid either external noise or measurement or inaccuracy errors, so every realistic mathematical model should allow for small errors along orbits not to disturb too much the long term behavior. To be able to cope with unavoidable uncertainty about the ``correct'' parameter values, observed initial states and even the specific mathematical formulation involved, we let randomness be embedded within the model to begin with. We present the most basic classes of models in what follows, then define the general concept and present some developments and examples of applications., Encyclopedia article on Random Dynamical Systems

We obtain a exponential large deviation upper bound for continuous observables on suspension semiflows over a non-uniformly expanding base transformation with non-flat singularities or criticalities, where the roof function defining the suspension behaves like the logarithm of the distance to the singular/critical set of the base map. That is, given a continuous function we consider its space average with respect to a physical measure and compare this with the time averages along orbits of the semiflow, showing that the Lebesgue measure of the set of points whose time averages stay away from the space average tends to zero exponentially fast as time goes to infinity. Suspension semiflows model the dynamics of flows admitting cross-sections, where the dynamics of the base is given by the Poincar\'e return map and the roof function is the return time to the cross-section. The results are applicable in particular to semiflows modeling the geometric Lorenz attractors and the Lorenz flow, as well as other semiflows with multidimensional non-uniformly expanding base with non-flat singularities and/or criticalities under slow recurrence rate conditions to this singular/critical set., Comment: 35 pages, 1 figure; revised the main theorem and corrected the proofs

We prove that the statistical properties of random perturbations of a nonuniformly hyperbolic diffeomorphism are described by a finite number of stationary measures. We also give necessary and sufficient conditions for the stochastic stability of such dynamical systems. We show that a certain $C^2$-open class of nonuniformly hyperbolic diffeomorphisms introduced in [Alves, J; Bonatti, C. and Viana, V., SRB measures for partially hyperbolic systems with mostly expanding central direction, Invent. Math., 140 (2000), 351-398] are stochastically stable. Our setting encompasses that of partially hyperbolic diffeomorphisms as well. Moreover, the techniques used enable us to obtain SRB measures in this setting through zero-noise limit measures., Comment: 32 pages; introduction revised and proofs detailed

We consider dynamical systems on compact manifolds, which are local diffeomorphisms outside an exceptional set (a compact submanifold). We are interested in analyzing the relation between the integrability (with respect to Lebesgue measure) of the first hyperbolic time map and the existence of positive frequency of hyperbolic times. We show that some (strong) integrability of the first hyperbolic time map implies positive frequency of hyperbolic times. We also present an example of a map with positive frequency of hyperbolic times at Lebesgue almost every point but whose first hyperbolic time map is not integrable with respect to the Lebesgue measure., Comment: 18 pages

We give both sufficient conditions and necessary conditions for the stochastic stability of non-uniformly expanding maps either with or without critical sets. We also show that the number of probability measures describing the statistical asymptotic behaviour of random orbits is bounded by the number of SRB measures if the noise level is small enough. As an application of these results we prove the stochastic stability of certain classes of non-uniformly expanding maps introduced in \cite{V} and \cite{ABV}., Comment: 44 pages, 2 figures

Orientador: Adriana Giarola Kayama Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Artes Resumo: Com o objetivo de prover material de pesquisa capaz de auxiliar o regente coral em sua função de preparador vocal, o presente trabalho é um amplo estudo sobre técnica vocal e práticas interpretativas no âmbito da música coral. Trata-se de um trabalho direcionado a regentes que atuam à frente de coros mistos adultos, de natureza amadora e formação de câmara cujo número de cantores varia de 16 a 45 vozes. Após uma reflexão introdutória, são apresentadas características históricas, técnicas e estilísticas de diversos estilos de música vocal e coral. Entre esses estilos estão a Renascença, o Barroco, o Classicismo, o Romantismo, a música do século XX e, por fim, a música coral brasileira do período colonial à atualidade. Em cada um dos estilos são abordados aspectos como a qualidade sonora das vozes, as técnicas de produção vocal, a natureza da prática coral, bem como sugestões para a construção da sonoridade desses vários estilos nos dias atuais. Na sequência, partindo de uma reflexão sobre a função do regente de preparador vocal, são definidos e descritos diferentes aspectos técnicos envolvidos na construção da sonoridade coral. Entre esses aspectos estão a administração da respiração, ressonância vocal, dicção, registração vocal, timbre, vibrato, homogeneidade, equilíbrio, afinação e precisão rítmica. Em seguida, é apresentado, como estudo de caso, um relato sobre a elaboração e a aplicação de um programa experimental de preparo vocal para coros com o Madrigal Musicanto de Itajubá, coro regido pelo autor deste trabalho. Por fim, como conclusão de toda a pesquisa realizada, apresenta-se uma linha metodológica para o preparo vocal de cantores corais que aborda aspectos como postura, respiração, ataque vocal, ressonância, dicção, registração vocal, legato, staccato, agilidade vocal, extensão vocal, dinâmica, homogeneidade e afinação Abstract: With the objective of providing useful research material for choral conductors who are also responsible for the vocal preparation of their singers, the present work is an ample study on vocal technique and performance practice in choral music. It is a work for choral conductors of mixed chamber choirs of adult amateurs singers whose number of members varies from 16 to 45 voices. After introductory considerations, historical, technical and stylistic peculiarities of various styles of vocal and choral music are presented. Among these styles are the Renaissance, the Baroque, the Classicism, the Romanticism, the Modernism, and finally, the Brazilian choral music from the Colonial period to the present time. For each of these styles, aspects like tone color, vocal techniques, the essence of choral practice as well as suggestions for sonority building are approached. In the sequence, based on the role of the conductor as a vocal coach, different technical aspects related to the construction of the choral tone - breath management, vocal resonance, diction, vocal registration, timbre, vibrato, blend, balance, intonation, and rhythmic precision - are defined and described. Afterwards, the author presents a case study that describes the elaboration and application of an experimental program of vocal preparation with the Madrigal Musicanto of Itajubá, a choir conducted by this author. Finally, to conclude this research, methodological guidelines for the vocal preparation of choral singers - dealing with the various technical aspects discussed in this work - are presented Doutorado Práticas Interpretativas Doutor em Música

Submitted by Marcos Samuel (msamjunior@gmail.com) on 2016-06-07T13:27:47Z No. of bitstreams: 1 Dissertaçao Bruno Cesar.pdf: 764734 bytes, checksum: 3d0b35f72432678a4559b8ce350db5db (MD5) Approved for entry into archive by Alda Lima da Silva (sivalda@ufba.br) on 2016-06-13T16:51:44Z (GMT) No. of bitstreams: 1 Dissertaçao Bruno Cesar.pdf: 764734 bytes, checksum: 3d0b35f72432678a4559b8ce350db5db (MD5) Made available in DSpace on 2016-06-13T16:51:44Z (GMT). No. of bitstreams: 1 Dissertaçao Bruno Cesar.pdf: 764734 bytes, checksum: 3d0b35f72432678a4559b8ce350db5db (MD5) Neste trabalho, vamos considerar uma função contínua definida em um espaço compacto Ω, o Princípio Variacional nos diz que ${\cal{P}}(A) . Considerando agora, em vez de , com , analisaremos o que acontece com . Faremos relações entre e medidas que realizam , onde é uma medida invariante e usaremos a álgebra Max-Plus como ferramenta para estudar o comportamento do

Submitted by Marcos Samuel (msamjunior@gmail.com) on 2016-06-07T13:27:47Z No. of bitstreams: 1 Dissertaçao Bruno Cesar.pdf: 764734 bytes, checksum: 3d0b35f72432678a4559b8ce350db5db (MD5) Approved for entry into archive by Alda Lima da Silva (sivalda@ufba.br) on 2016-06-13T16:51:44Z (GMT) No. of bitstreams: 1 Dissertaçao Bruno Cesar.pdf: 764734 bytes, checksum: 3d0b35f72432678a4559b8ce350db5db (MD5) Made available in DSpace on 2016-06-13T16:51:44Z (GMT). No. of bitstreams: 1 Dissertaçao Bruno Cesar.pdf: 764734 bytes, checksum: 3d0b35f72432678a4559b8ce350db5db (MD5) Neste trabalho, vamos considerar uma função contínua definida em um espaço compacto Ω, o Princípio Variacional nos diz que ${\cal{P}}(A) . Considerando agora, em vez de , com , analisaremos o que acontece com . Faremos relações entre e medidas que realizam , onde é uma medida invariante e usaremos a álgebra Max-Plus como ferramenta para estudar o comportamento do

Submitted by Marcos Samuel (msamjunior@gmail.com) on 2016-06-07T15:10:05Z No. of bitstreams: 1 dissertacao_edvan.pdf: 553177 bytes, checksum: 8116fcd6d1a03aa2984c7d7a6cd47af5 (MD5) Approved for entry into archive by Alda Lima da Silva (sivalda@ufba.br) on 2016-06-13T17:05:55Z (GMT) No. of bitstreams: 1 dissertacao_edvan.pdf: 553177 bytes, checksum: 8116fcd6d1a03aa2984c7d7a6cd47af5 (MD5) Made available in DSpace on 2016-06-13T17:05:55Z (GMT). No. of bitstreams: 1 dissertacao_edvan.pdf: 553177 bytes, checksum: 8116fcd6d1a03aa2984c7d7a6cd47af5 (MD5) Provamos que existe conjunto aberto e denso de campos tridimensionais incompressíveis de classe C2 tais que, se um campo neste conjunto tem um conjunto invariante com volume positivo e decomposição dominada para o fluxo linear de Poincaré, então esse campo é Anosov (globalmente hiperbólico). Isto estende resultado clássico de Bowen sobre volume zero de conjuntos hiperbólicos para contextos mais gerais.

Submitted by Marcos Samuel (msamjunior@gmail.com) on 2016-06-07T13:10:28Z No. of bitstreams: 1 teseVF_sfb.pdf: 1354300 bytes, checksum: 133a610b28819ff1246f69a7a1fb856e (MD5) Approved for entry into archive by Alda Lima da Silva (sivalda@ufba.br) on 2016-06-13T16:48:33Z (GMT) No. of bitstreams: 1 teseVF_sfb.pdf: 1354300 bytes, checksum: 133a610b28819ff1246f69a7a1fb856e (MD5) Made available in DSpace on 2016-06-13T16:48:33Z (GMT). No. of bitstreams: 1 teseVF_sfb.pdf: 1354300 bytes, checksum: 133a610b28819ff1246f69a7a1fb856e (MD5) Apresentamos uma nova aplicação do recentemente popularizado método de acoplamentos ou (transporte otimal) para obter decaimento exponencial de correlações. A modo de introdução, enunciamos os teoremas de Perron-Frobenius e de Ruelle como versões prévias ao nosso resultado e como objetos de comparação. Nosso objetivo é provar o teorema de Ruelle em um contexto mais geral como sendo as cadeias contáveis topológicas de Markov randomizadas completas. Para isso vamos introduzir o método de acoplamentos que faz uso de uma contração da métrica de Wasserstein sobre as medidas de probabilidade definidas num espaço e full-shift aleatório. Vamos ver que o método mostra várias vantagens em relação aos clássicos métodos conhecidos para provar o decaimento exponencial de correlações.

Submitted by Mayara Nascimento (mayara.nascimento@ufba.br) on 2016-06-07T13:45:30Z No. of bitstreams: 1 dissertacaodiego.pdf: 404917 bytes, checksum: 6236f80504a54ebb5daf11d5b6a52e3f (MD5) Approved for entry into archive by Alda Lima da Silva (sivalda@ufba.br) on 2016-06-13T17:04:04Z (GMT) No. of bitstreams: 1 dissertacaodiego.pdf: 404917 bytes, checksum: 6236f80504a54ebb5daf11d5b6a52e3f (MD5) Made available in DSpace on 2016-06-13T17:04:04Z (GMT). No. of bitstreams: 1 dissertacaodiego.pdf: 404917 bytes, checksum: 6236f80504a54ebb5daf11d5b6a52e3f (MD5) Apresentamos uma prova detalhada do limite hidrodinâmico do Processo de Exclusão Simples e Simétrico utilizando o método da Entropia Relativa. Nós provamos este resultado para tal processo evoluindo no toro discreto unidimensional Tn com escala difusiva (n) = n2. O método da Entropia é de grande dificuldade técnica, por isso o estudamos no caso com interação mais simples possível (o Processo de Exclusão Simples e Simétrico).

Submitted by Mayara Nascimento (mayara.nascimento@ufba.br) on 2016-06-08T12:34:37Z No. of bitstreams: 1 dissertacaojunilson.pdf: 805589 bytes, checksum: 07236e3a5cd59e38c18a5270c62c7bb7 (MD5) Approved for entry into archive by Alda Lima da Silva (sivalda@ufba.br) on 2016-06-13T17:28:07Z (GMT) No. of bitstreams: 1 dissertacaojunilson.pdf: 805589 bytes, checksum: 07236e3a5cd59e38c18a5270c62c7bb7 (MD5) Made available in DSpace on 2016-06-13T17:28:07Z (GMT). No. of bitstreams: 1 dissertacaojunilson.pdf: 805589 bytes, checksum: 07236e3a5cd59e38c18a5270c62c7bb7 (MD5) Apresentamos condições necessárias e suficientes para que uma decomposição contínua invariante do fibrado tangente de um conjunto compacto invariante seja hiperbólica ou parcialmente hiperbólica, com respeito a um difeomorfismo ou um fluxo C1 (com ou sem singularidades). Nós aplicamos estes resultados ao atrator solenóide e ao atrator geométrico de Lorenz.

Submitted by Mayara Nascimento (mayara.nascimento@ufba.br) on 2016-06-07T13:54:39Z No. of bitstreams: 1 DISSERTACAO_Felipe Titulado 01.12.14.pdf: 773880 bytes, checksum: f4e39e35bec66454db03a0bb85b4e423 (MD5) Approved for entry into archive by Uillis de Assis Santos (uillis.assis@ufba.br) on 2016-06-07T17:50:08Z (GMT) No. of bitstreams: 1 DISSERTACAO_Felipe Titulado 01.12.14.pdf: 773880 bytes, checksum: f4e39e35bec66454db03a0bb85b4e423 (MD5) Made available in DSpace on 2016-06-07T17:50:08Z (GMT). No. of bitstreams: 1 DISSERTACAO_Felipe Titulado 01.12.14.pdf: 773880 bytes, checksum: f4e39e35bec66454db03a0bb85b4e423 (MD5) Apresentamos resultados que dão condições suficientes para que uma dada decomposição invariante do fibrado tangente de um conjunto compacto invariante de um fluxo C1 com singularidades (ou não) seja dominada. Em particular, esses resultados reduzem os requisitos para obter hiperbolicidade seccional e hiperbolicidade. Além disso, usamos exemplos para ilustrar que alguns enfraquecimentos desses resultados não são possíveis. Por fim, fazemos uma aplicação dos resultados à situação de fluxos tridimensionais fracamente dissipativos

Submitted by Diogo Barreiros (diogo.barreiros@ufba.br) on 2016-06-14T15:12:03Z No. of bitstreams: 1 Roberto Sant'anna.pdf: 1090253 bytes, checksum: 26b9b47b6037ecf2c3252bffc51587c7 (MD5) Approved for entry into archive by Alda Lima da Silva (sivalda@ufba.br) on 2016-06-14T15:38:49Z (GMT) No. of bitstreams: 1 Roberto Sant'anna.pdf: 1090253 bytes, checksum: 26b9b47b6037ecf2c3252bffc51587c7 (MD5) Made available in DSpace on 2016-06-14T15:38:49Z (GMT). No. of bitstreams: 1 Roberto Sant'anna.pdf: 1090253 bytes, checksum: 26b9b47b6037ecf2c3252bffc51587c7 (MD5) CAPES O presente trabalho tem como objetivo apresentar a validade de algumas propriedades estat sticas para sistemas din^amicos associados a uma certa medida, a saber, o decaimento de correla c~oes e a validade do Teorema do Limite Central. Essas propriedades ser~ao obtidas no contexto de um tipo especial de medida (as medidas zooming). Nesse contexto, as parti c~oes de Markov tem sido um ferramenta muito util para analisar o comportamento qualitativo de tais sistemas. Outra ferramenta util utilizada aqui e o levantamento de medidas. Utilizaremos tamb em algumas ferramentas intermedi arias, como conjuntos encaixados e componentes erg odicas, para obter a constru c~ao de uma parti c~ao de Markov associada a nosso sistema.

Submitted by Kleber Silva (kleberbs@ufba.br) on 2016-06-08T17:53:25Z No. of bitstreams: 1 Dissertacao_thiagobomfim_oficial.pdf: 806135 bytes, checksum: 88b48881bfce1af4e8b3e258f4ef7640 (MD5) Approved for entry into archive by Alda Lima da Silva (sivalda@ufba.br) on 2016-06-13T17:35:29Z (GMT) No. of bitstreams: 1 Dissertacao_thiagobomfim_oficial.pdf: 806135 bytes, checksum: 88b48881bfce1af4e8b3e258f4ef7640 (MD5) Made available in DSpace on 2016-06-13T17:35:29Z (GMT). No. of bitstreams: 1 Dissertacao_thiagobomfim_oficial.pdf: 806135 bytes, checksum: 88b48881bfce1af4e8b3e258f4ef7640 (MD5) O presente trabalho tem com objetivo descrever as propriedades ergódicas e de estabilidade dos estados de equilíbrio de uma grande classe de transformações não uniformemente expansoras, onde partição de Markov não e assumida. Estudamos aplicações n~ao singulares (difeomorfismos locais, eventualmente, homeomorfismos locais) que apresentam preval^encia de expans~ao: a variedade compacta que e o dom nio da aplica c~ao possui uma regi~ao onde a derivada da aplicação pode até mesmo possuir direções contrativas, mas a expansão em outras regiões e a transitividade do sistema permitem dar conta dos efeitos da regi~ao onde falha a expansão. Provamos que para certos potenciais com variação baixa existe um único estado de equilíbrio, tal estado de equilíbrio tem decaimento exponencial de correlações,satisfaz o teorema central do limite e e uma medida exata; além disso, para essa classe de dinâmicas e potenciais obtemos resultados de estabilidade estatística forte e estabilidade espectral. Todo o trabalho foi baseado num artigo de Castro e Varandas [CV10].

Submitted by Kleber Silva (kleberbs@ufba.br) on 2016-06-08T17:53:25Z No. of bitstreams: 1 Dissertacao_thiagobomfim_oficial.pdf: 806135 bytes, checksum: 88b48881bfce1af4e8b3e258f4ef7640 (MD5) Approved for entry into archive by Alda Lima da Silva (sivalda@ufba.br) on 2016-06-13T17:35:29Z (GMT) No. of bitstreams: 1 Dissertacao_thiagobomfim_oficial.pdf: 806135 bytes, checksum: 88b48881bfce1af4e8b3e258f4ef7640 (MD5) Made available in DSpace on 2016-06-13T17:35:29Z (GMT). No. of bitstreams: 1 Dissertacao_thiagobomfim_oficial.pdf: 806135 bytes, checksum: 88b48881bfce1af4e8b3e258f4ef7640 (MD5) O presente trabalho tem com objetivo descrever as propriedades ergódicas e de estabilidade dos estados de equilíbrio de uma grande classe de transformações não uniformemente expansoras, onde partição de Markov não e assumida. Estudamos aplicações n~ao singulares (difeomorfismos locais, eventualmente, homeomorfismos locais) que apresentam preval^encia de expans~ao: a variedade compacta que e o dom nio da aplica c~ao possui uma regi~ao onde a derivada da aplicação pode até mesmo possuir direções contrativas, mas a expansão em outras regiões e a transitividade do sistema permitem dar conta dos efeitos da regi~ao onde falha a expansão. Provamos que para certos potenciais com variação baixa existe um único estado de equilíbrio, tal estado de equilíbrio tem decaimento exponencial de correlações,satisfaz o teorema central do limite e e uma medida exata; além disso, para essa classe de dinâmicas e potenciais obtemos resultados de estabilidade estatística forte e estabilidade espectral. Todo o trabalho foi baseado num artigo de Castro e Varandas [CV10].

Submitted by Kleber Silva (kleberbs@ufba.br) on 2016-06-07T19:30:31Z No. of bitstreams: 1 KatiaRocha_dissert_princ.pdf: 1219624 bytes, checksum: b704a7f90a949d7d84aeea89e1a5853c (MD5) Approved for entry into archive by Alda Lima da Silva (sivalda@ufba.br) on 2016-06-13T17:18:45Z (GMT) No. of bitstreams: 1 KatiaRocha_dissert_princ.pdf: 1219624 bytes, checksum: b704a7f90a949d7d84aeea89e1a5853c (MD5) Made available in DSpace on 2016-06-13T17:18:45Z (GMT). No. of bitstreams: 1 KatiaRocha_dissert_princ.pdf: 1219624 bytes, checksum: b704a7f90a949d7d84aeea89e1a5853c (MD5) Provaremos que um atrator Hiperbólico - singular de um fluxo 3-dimensional e caótico sob dois pontos de vista diferentes. Primeiro provaremos que o fluxo e expansivo,isto e, se dois pontos permanecem próximos por todo tempo, então suas órbitas coincidem.O segundo objetivo e a existência de uma medida física suportada no atrator

Submitted by Kleber Silva (kleberbs@ufba.br) on 2016-06-07T19:30:31Z No. of bitstreams: 1 KatiaRocha_dissert_princ.pdf: 1219624 bytes, checksum: b704a7f90a949d7d84aeea89e1a5853c (MD5) Approved for entry into archive by Alda Lima da Silva (sivalda@ufba.br) on 2016-06-13T17:18:45Z (GMT) No. of bitstreams: 1 KatiaRocha_dissert_princ.pdf: 1219624 bytes, checksum: b704a7f90a949d7d84aeea89e1a5853c (MD5) Made available in DSpace on 2016-06-13T17:18:45Z (GMT). No. of bitstreams: 1 KatiaRocha_dissert_princ.pdf: 1219624 bytes, checksum: b704a7f90a949d7d84aeea89e1a5853c (MD5) Provaremos que um atrator Hiperbólico - singular de um fluxo 3-dimensional e caótico sob dois pontos de vista diferentes. Primeiro provaremos que o fluxo e expansivo,isto e, se dois pontos permanecem próximos por todo tempo, então suas órbitas coincidem.O segundo objetivo e a existência de uma medida física suportada no atrator