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45 results on '"Yakov Grigor'evich Sinai"'

1. Анатолий Михайлович Степин (некролог)

Author

Oleg Nikolaevich Ageev, Yaroslav Bogdanovich Vorobets, Benjamin Weiss Weiss, Rostislav Ivanovich Grigorchuk, Vyacheslav Zigmuntovich Grines, Boris Marcovich Gurevich, Lyudmila Sergeevna Efremova, Aleksei Yur'evich Zhirov, Evgenii Viktorovich Zhuzhoma, Boris Sergeevich Kashin, Vassili Nikitich Kolokoltsov, Andrey Vasilyevich Kochergin, Lev Mikhailovich Lerman, Igor' Vladimirovich Mykytyuk, Valery Iustinovich Oseledets, Aleksandr Yur'evich Plakhov, Olga Vital'evna Pochinka, Valerii Valentinovich Ryzhikov, Vsevolod Zhanovich Sakbaev, Armen Glebovich Sergeev, Yakov Grigor'evich Sinai, A T Tagi-zade, Sergei Viktorovich Tikhonov, J.-P Thouvenot, Alexander Yakovlevich Helemskii, and Andrei Igorevich Shafarevich

Published
2022
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2. Владимир Антонович Зорич (к восьмидесятилетию со дня рождения)

Author

Yurii Ivanovich Manin, Alexander Ivanovich Aptekarev, Dmitrii Valer'evich Treschev, Albert N. Shiryaev, Grigorii Aleksandrovich Margulis, Yakov Grigor'evich Sinai, Maxim Kontsevich, Valery V. Kozlov, Victor A. Vassiliev, Victor Matveevich Buchstaber, Stefan Yurievich Nemirovski, Askold Khovanskii, Дмитрий Валерьевич Трещeв, Sergei Petrovich Novikov, Igor Krichever, Albert Schwarz, Dmitrii Borisovich Fuchs, Sergei K. Lando, Nikolai Georgievich Kruzhilin, Yuri Grigor'evich Reshetnyak, Mikhail Leonidovich Gromov, Evgenii Mikhailovich Chirka, Yulij Sergeevich Ilyashenko, Boris Sergeevich Kashin, Vladimir Mikhailovich Kesel'man, and Sergey Pavlovich Suetin

Published
2018
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3. Памяти Эммануила Эльевича Шноля

Author

Vladimir Yur'evich Lunin, Rustam Davudovich Dagkesamanskii, Evgenii Viktorovich Nikolaev, Vadim N. Biktashev, Aleksandr Georgievich Urzhumtsev, Mikhail Abramovich Roitberg, Vladimir Mikhailovich Tikhomirov, Fazly I. Ataullakhanov, Alexander Ivanovich Aptekarev, A Tokarev, Vladimir Sigizmundovich Posvyanskii, Nikita Dmitrievna Vvedenskaya, Nataliya Leonidovna Lunina, Lev Ryashko, A. L. Afendikov, Yulij Sergeevich Ilyashenko, Nikolai K. Balabaev, Viktor Solomonovich Ryaben'kii, Roman Matveevich Boricyuk, Yakov Grigor'evich Sinai, Aleksander Iosifovich Khibnik, V.D. Lakhno, Irina V. Biktasheva, and Yurii Gennad'evich Zarhin

Subjects
Physics
Published
2017
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6. Дмитрий Викторович Аносов (некролог)

Author

Anatolii Iserovich Neishtadt, Boris Marcovich Gurevich, Alexey Vladimirovich Klimenko, Anatolii Mikhailovich Stepin, A. A. Davydov, Sergei Petrovich Novikov, Vyacheslav Zigmuntovich Grines, Yakov Grigor'evich Sinai, Anatolii Borisovich Katok, Victor Matveevich Buchstaber, Valerii Vasil'evich Kozlov, Mikhail Il'ich Monastyrskii, Mikhail Il'ich Zelikin, Sergey Mironovich Aseev, Rostislav Grigorchuk, Vladimir Pavlovich Leksin, Evgenii Viktorovich Zhuzhoma, Aleksei Yur'evich Zhirov, and Evgueni A Sataev

Subjects
Theology, Obituary, Mathematics
Published
2015
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7. Анатолий Моисеевич Вершик (к восьмидесятилетию со дня рождения)

Author

Andrei Okounkov, Il'dar Abdullovich Ibragimov, Andrei Aleksandrovich Lodkin, A A Kirillov, Sergei Petrovich Novikov, Sergei Vladimirovich Fomin, N. V. Tsilevich, Grigorii Iosifovich Olshanskii, Yakov Grigor'evich Sinai, Yurii Vladimirovich Yakubovich, Mikhail Iosifovich Gordin, Victor Matveevich Buchstaber, Vadim A. Kaimanovich, Fedor Petrov, and Lyudvig Dmitrievich Faddeev

Subjects
Mathematics
Published
2014
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8. Леонид Павлович Шильников (некролог)

Author

Dmitry Turaev, Yakov Borisovich Pesin, L. M. Lerman, A. M. Samoilenko, Дмитрий Валерьевич Трещeв, Valerii Vasil'evich Kozlov, Vyacheslav Zigmuntovich Grines, Anatolii Iserovich Neishtadt, Aleksandr Nikolaevich Sharkovskii, S. V. Gonchenko, Albert Dmitrievich Morozov, Anatolii Borisovich Katok, Yulij Sergeevich Ilyashenko, Dmitrii Valer'evich Treschev, Leonid A. Bunimovich, Dmitry Victorovich Anosov, Yakov Grigor'evich Sinai, S. A. Kashchenko, Andrei L Shil'nikov, and Valentin Sendorovich Afraimovich

Subjects
Philosophy, Obituary, Theology
Published
2012
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9. Ромен Васильевич Плыкин (некролог)

Author

Vyacheslav Zigmuntovich Grines, Anatolii Mikhailovich Stepin, Yakov Grigor'evich Sinai, Mikhail Ya Antonovskii, Evgenii Viktorovich Zhuzhoma, Victor Matveevich Buchstaber, Evgueni A Sataev, Dmitry Victorovich Anosov, Arkadii Anatol'evich Mal'tsev, Leonid P Shilnikov, Aleksei Yur'evich Zhirov, and Natal'ya Eduardovna Klinshpont

Subjects
Physics, Theology, Obituary
Published
2011
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13. Diagrammatic approach to the 3D Navier-Stokes system

Author

Yakov Grigor'evich Sinai

Subjects
Physics::Fluid Dynamics, Diagrammatic reasoning, Forcing (recursion theory), Series (mathematics), Exponential growth, Incompressible flow, Simple (abstract algebra), General Mathematics, Bounded function, Mathematical analysis, Mathematics, Local convergence
Abstract

This paper concerns the 3-dimensional Navier-Stokes system (NSS) on which describes the dynamics of viscous incompressible fluids without external forcing. For bounded initial conditions with compact support a locally convergent series is constructed which gives the solution of the NSS and whose coefficients are multidimensional integrals called diagrams. Estimates are given for various classes of diagrams and it is shown in particular that simple diagrams decay faster than exponentially.

Published
2005
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16. К юбилею Ширяева А. Н

Author

Il'dar Abdullovich Ibragimov, Victor Pavlovich Maslov, Boris Alexandrovich Sevast'yanov, Aleksandr Alekseevich Borovkov, Yakov Grigor'evich Sinai, and Yurii Vasil'evich Prokhorov

Published
2004
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20. Лев Дмитриевич Мешалкин (некролог)

Author

Boris Marcovich Gurevich, Yakov Grigor'evich Sinai, Vladimir Tikhomirov, Victor Matveevich Buchstaber, Лapисa Гpигоpьевнa Афанасьева, Yu N Blagoveshchenskii, Yurii Vasil'evich Prokhorov, Albert N. Shiryaev, S A Aivazyan, and Larisa Grigor'evna Afanas'eva

Subjects
Obituary, Theology, Mathematics
Published
2001
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21. Анатолий Михайлович Степин (к шестидесятилетию со дня рождения)

Author

Petr Lavrent'evich Ul'yanov, Valerii Vasil'evich Kozlov, Rostislav Grigorchuk, Evgenii Frolovich Mishchenko, Dmitry Victorovich Anosov, Andrey Andreevich Bolibrukh, Anatoly Timofeevich Fomenko, Victor Pavlovich Maslov, Anatolii Moiseevich Vershik, Yakov Grigor'evich Sinai, Andrei Aleksandrovich Gonchar, and Vladimir Tikhomirov

Subjects
Philosophy
Published
2001
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23. Recent results on mathematical and statistical hydrodynamics

Author

Weinan E and Yakov Grigor'evich Sinai

Subjects
Stochastic partial differential equation, Stochastic differential equation, Partial differential equation, Quantum stochastic calculus, Differential equation, General Mathematics, Mathematical analysis, First-order partial differential equation, Applied mathematics, McKean–Vlasov process, Burgers' equation, Mathematics
Abstract

This paper is a survey of recent results of the authors and their collaborators on stochastic partial differential equations in hydrodynamics. We discuss the stochastic Burgers equation, the stochastic Navier-Stokes equation, and the stochastic passive scalar transport equation. In contrast to previous publications on this subject (see, for example, [25], which is mainly devoted to existence problems for stochastic dynamics), the work surveyed here emphasizes qualitative properties of solutions, including the existence and uniqueness of an invariant measure under certain physical assumptions, the asymptotic behaviour of the statistics of these solutions, and so on. We also discuss new investigations concerning the deterministic Navier-Stokes equation.

Published
2000
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25. Anomalous transport in quasi-periodic media

Author

Yakov Grigor'evich Sinai

Subjects
Anderson localization, General Mathematics, Operator (physics), Bibliography, Calculus, Exponential decay, Quasi periodic, Eigenfunction, Mathematical physics, Mathematics
Abstract

Contents § 1. Introduction § 2. Proof of Theorem 1 § 3. Anderson localization of the operator Hα § 4. Exponential decay of the approximate eigenfunctions and other asymptotic relations Bibliography

Published
1999
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30. К 75-летию академика А. А. Боровкова

Author

Igor' Semenovich Borisov, N. N. Vakhania, Boris Alexandrovich Sevast'yanov, Il'dar Abdullovich Ibragimov, Dmitrii Mikhailovich Chibisov, Victor Pavlovich Maslov, Yurii Vasil'evich Prokhorov, Anatolii Al'fredovich Mogul'skii, Albert N. Shiryaev, Yakov Grigor'evich Sinai, Vladimir Ivanovich Lotov, and Sergei Georgievich Foss

Published
2006
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33. Владимир Игоревич Арнольд (к шестидесятилетию со дня рождения)

Author

Yakov Grigor'evich Sinai, Yurii Ivanovich Manin, Boris Khesin, Andrei Aleksandrovich Gonchar, Anatolii Iserovich Neishtadt, Askold Khovanskii, Sergei Petrovich Novikov, Sabir M. Gusein-Zade, Victor A. Vassiliev, Dmitry Victorovich Anosov, Andrei Nikolaevich Tyurin, Maxim Kontsevich, Mikhail Leonidovich Gromov, Mikhail Borisovich Sevryuk, Andrey Andreevich Bolibrukh, Yulij Sergeevich Ilyashenko, Valerii Vasil'evich Kozlov, Lyudvig Dmitrievich Faddeev, Vladimir M. Zakalyukin, Yurii S Osipov, and Anatolii Moiseevich Vershik

Subjects
Mathematics
Published
1997
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35. Dynamics of a Massive Piston in an Ideal Gas

Author

Yakov Grigor'evich Sinai, Nikolai Chernov, and Joel L. Lebowitz

Subjects
Statistical Mechanics (cond-mat.stat-mech), General Mathematics, FOS: Physical sciences, Statistical mechanics, Mechanics, Dynamical system, Physics::Classical Physics, 01 natural sciences, Ideal gas, 010305 fluids & plasmas, law.invention, Elastic collision, Piston, law, 0103 physical sciences, Trajectory, 010306 general physics, Piston motion equations, Scaling, Condensed Matter - Statistical Mechanics, Mathematics
Abstract

We study a dynamical system consisting of a massive piston in a cubical container of large size $L$ filled with an ideal gas. The piston has mass $M\sim L^2$ and undergoes elastic collisions with $N\sim L^3$ non-interacting gas particles of mass $m=1$. We find that, under suitable initial conditions, there is, in the limit $L \to \infty$, a scaling regime with time and space scaled by $L$, in which the motion of the piston and the one particle distribution of the gas satisfy autonomous coupled equations (hydrodynamical equations), so that the mechanical trajectory of the piston converges, in probability, to the solution of the hydrodynamical equations for a certain period of time. We also discuss heuristically the dynamics of the system on longer intervals of time., Comment: 86 pages, 12 figures

Published
2003
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36. Limiting probability distribution for a random walk with topological constraints

Author

Leonid Koralov, Sergei Nechaev, and Yakov Grigor'evich Sinai

Subjects
Joint probability distribution, Applied Mathematics, Lattice (order), General Physics and Astronomy, Probability distribution, Statistical and Nonlinear Physics, Limiting, Random walk, Topology, Mathematical Physics, Mathematics
Abstract

The joint limiting probability distribution is studied for the two-dimensional random walk with topological constraints, omega(2ns), on Z(2) lattice, where 2n is its total length and (0/=s/=1). The expression for the density of finite-dimensional limiting probability distribution pi{xi(n)(s(1)),xi(n)(s(2)),.,xi(n)(s(r))} where xi(n)(s) = omega(2ns)/n(1/4), is described.

Published
1991
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39. Валентин Яковлевич Голодец (к 70-летию со дня рождения)

Author

S. L. Gefter, Sergei Petrovich Novikov, Rais Sal'manovich Ismagilov, Anatolii Mikhailovich Stepin, Sergey Dmitrievich Sinel'shchikov, Alexandre I. Danilenko, Sergei Ivanovich Bezuglyi, Anatolii Moiseevich Vershik, Dmitry Victorovich Anosov, Vladimir Alexandrovich Marchenko, Cергей Иванович Безуглый, Nikolai Ivanovich Nessonov, and Yakov Grigor'evich Sinai

Published
2007
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40. Ольга Александровна Ладыженская (некролог)

Author

Vsevolod Alekseevich Solonnikov, Yakov Grigor'evich Sinai, M. Birman, Victor Pavlovich Maslov, Lyudvig Dmitrievich Faddeev, Marko Iosifovich Vishik, Grigorii Aleksandrovich Seregin, Sergei Petrovich Novikov, Vladimir I. Arnold, Anatolii Moiseevich Vershik, Nina Nikolaevna Ural'tseva, Il'dar Abdullovich Ibragimov, Izrail Moiseevich Gel'fand, M. Z. Solomyak, and Григорий Александрович Серeгин

Subjects
Philosophy, Theology, Obituary
Published
2004
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42. Ergodic properties of a semi-infinite one-dimensional system of statistical mechanics

Author

Alessandro Pellegrinotti, C. Boldrighini, Errico Presutti, Yakov Grigor'evich Sinai, M. R. Soloveichik, C., Boldrighini, Pellegrinotti, Alessandro, E., Presutti, Sinai, Y. A. G., and M. R., Soloveichik

Subjects
Canonical ensemble, Physics, Time evolution, 58F11, Statistical and Nonlinear Physics, Statistical mechanics, Dynamical system, Ideal gas, Elastic collision, Quantum mechanics, 82A05, Ergodic theory, Particle, Mathematical Physics, Mathematical physics
Abstract

We consider the dynamical system (\(\mathfrak{X}\),μ,Tt) where (\(\mathfrak{X}\),μ) is the Gibbs ensemble at some fixed temperature and density for a semi-infinite one-dimensional ideal gas of point particles. The first particle has massM, all the other particles massm

Published
1985
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43. Non-KAM (Kolmogorov-Arnold-Moser) incommensurate states of the discrete Frenkel-Kontorova chain

Author

S. E. Burkov and Yakov Grigor'evich Sinai

Subjects
Physics, Phase transition, Chain (algebraic topology), Kolmogorov–Arnold–Moser theorem, General Engineering, Periodic potential, Mathematical physics
Abstract

The depinning phase transition in the discrete Frenkel-Kontorova model is considered. It is found that there exists a set of irrational periodicities such that the chain in pinned at any periodic potential strenght. Every Cantorus describin the pinned phase is shown to belong to the stochastic layer Etude de la transition d'ancrage dans le modele discret de Frenkel-Kontorova: il existe un ensemble de periodes irrationnelles ou la chaine est ancree pour toute valeur du potentiel periodique. Chaque ensemble de Cantor decrivant la phase ancree appartient a la couche stochastique

Published
1984
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44. On the Boltzmann equation for the Lorentz gas

Author

Leonid A. Bunimovich, C. Boldrighini, and Yakov Grigor'evich Sinai

Subjects
Boltzmann relation, Lebesgue measure, Lorentz transformation, Mathematical analysis, Lattice Boltzmann methods, Statistical and Nonlinear Physics, Measure (mathematics), Boltzmann equation, Boltzmann distribution, symbols.namesake, symbols, Limit (mathematics), Mathematical Physics, Mathematics
Abstract

We consider the Boltzmann-Grad limit for the Lorentz, or wind-tree, model. We prove that if ω is a fixed configuration of scatterer centers belonging to a set of full measure with respect to the Poisson distribution with parameter λ>0, then the evolution of an initial a.c. particle density tends in the Boltzmann-Grad limit to the solution of the Boltzmann equation for the model. As an intermediate step we prove that the process of the free path lengths and impact parameters induced by the Lebesgue measure on a small region tends to a limiting independent process.

Published
1983
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45. Symmetric random walks in random environments

Author

V. V. Anshelevich, Yakov Grigor'evich Sinai, and Konstantin Khanin

Subjects
Discrete mathematics, Combinatorics, Random graph, Convergence of random variables, Multivariate random variable, Sum of normally distributed random variables, Random function, Random compact set, Random element, Statistical and Nonlinear Physics, Random walk, Mathematical Physics, Mathematics
Abstract

We consider a random walk on thed-dimensional lattice ℤ d where the transition probabilitiesp(x,y) are symmetric,p(x,y)=p(y,x), different from zero only ify−x belongs to a finite symmetric set including the origin and are random. We prove the convergence of the finite-dimensional probability distributions of normalized random paths to the finite-dimensional probability distributions of a Wiener process and find our an explicit expression for the diffusion matrix.

Published
1982
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