Edit Profile (opens in new tab) Sinaĭ, Yakov Grigor’evich Compute Distance To: Compute Author ID: sinai.yakov-grigorevic Published as: Sinai, Ya. G.; Sinai, Yakov G.; Sinaj, Ya. G.; Sinaĭ, Ya. G.; Sinai, Yakov; Sinai, Ya G.; Sinai, Ya.; Sinai, Y.; Sinai, Y. G.; Sinai, Jakov G.; Sinajĭ, Ya. G.; Sinai, Ja. G.; Sinai, Ya. A.; Sinai, YA. G.; Sinai, J. G. more...less Homepage: https://www.math.princeton.edu/directory/yakov-sinai External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Awards: Wolf Prize (1997) · Abel Prize (2014) Documents Indexed: 291 Publications since 1957, including 16 Books 18 Contributions as Editor · 7 Further Contributions Biographic References: 13 Publications Co-Authors: 294 Co-Authors with 197 Joint Publications 7,342 Co-Co-Authors all top 5 Co-Authors 114 single-authored 16 Khanin, Konstantin M. 16 Li, Dong 15 Bunimovich, Leonid Abramovich 15 Dinaburg, Efim I. 13 Novikov, Sergeĭ Petrovich 10 Anosov, Dmitriĭ Viktorovich 10 Arnol’d, Vladimir Igorevich 10 Pesin, Yakov Borisovich 9 Chernov, Nikolai Ivanovich 9 Dobrushin, Roland L’vovich 9 Vershik, Anatoliĭ Moiseevich 8 Bukhshtaber, Viktor Matveevich 8 Lebowitz, Joel Louis 7 Kornfel’d, I. P. 7 Tikhomirov, Vladimir Mikhaĭlovich 6 Kolmogorov, Andreĭ Nikolaevich 6 Kozlov, Valeriĭ Vasil’evich 6 Maslov, Viktor Pavlovich 6 Osipov, Yuriĭ Sergeevich 6 Stëpin, Anatoliĭ Mikhaĭlovich 5 Boldrighini, Carlo 5 Cellarosi, Francesco 5 E, Weinan 5 Gurevich, Boris 5 Ilyashenko, Yulij Sergeevich 5 Malyshev, Vadim Aleksandrovich 5 Mazel, Alexander E. 5 Ulcigrai, Corinna 5 Vul, Elena B. 4 Bolibrukh, Andreĭ Andreevich 4 Gel’fand, Israil’ Moiseevich 4 Grines, Vyacheslav Zigmundovich 4 Kashin, Boris Sergeevich 4 Kirillov, Alexandre Aleksandrovich 4 Marchenko, Vladimir Aleksandrovich 4 Nechaev, Sergeĭ Konstantinovich 4 Shlosman, Senya B. 4 Suhov, Yurii Mikhailovich 4 Yakobson, M. V. 3 Aleksandrov, Pavel Sergeevich 3 Avdeeva, Maria 3 Berezans’kyĭ, Yuriĭ Makarovych 3 Chulaevskij, V. A. 3 Faddeev, Lyudvig Dmitrievich 3 Fuchs, Dmitry Borisovich 3 Gamkrelidze, Revaz Valerianovich 3 Grigorchuk, Rostislav Ivanovich 3 Ibragimov, Il’dar Abdullovich 3 Katok, Anatole 3 Khas’minskiĭ, Rafail Zalmanovich 3 Khruslov, Eugene Yakovlevich 3 Koralov, Leonid B. 3 Kosygin, Denis V. 3 Maslov, Klavdii V. 3 Minlos, Robert Adol’fovich 3 Neĭshtadt, Anatoliĭ Iserovich 3 Oleĭnik, Ol’ga Arsen’evna 3 Piasecki, Jarosław 3 Shiryaev, Al’bert Nikolaevich 3 Soshnikov, Alexander B. 3 Zelikin, Mikhail Il’ich 3 Zhirov, Aleksei Yu 3 Zhizhina, Elena Anatol’evna 3 Zhuzhoma, Evgeniĭ Viktorovich 2 Anshelevich, Vadim V. 2 Aptekarev, Alexander Ivanovich 2 Aseev, Sergei M. 2 Bogolyubov, Nikolaĭ Nikolaevich 2 Borisyuk, Roman M. 2 Deligne, Pierre René 2 Fomin, Sergeĭ Vasil’evich 2 Gromov, Mikhael Leonidovich 2 Helemskii, Alexander Ya. 2 Ismagilov, Rais Sal’manovich 2 Kaimanovich, Vadim A. 2 Kaloshin, Vadim Yu. 2 Khibnik, Alexander I. 2 Kreĭn, Mark Grigor’evich 2 Leites, Dimitry A. 2 Lerman, Lev 2 Lokutsievskij, O. V. 2 Lunin, V. Yu. 2 Maikov, E. V. 2 Margulis, Grigoriĭ Aleksandrovich 2 Maslova, Nina Borisovna 2 Mattingly, Jonathan Christopher 2 Mishchenko, Evgeniĭ Frolovich 2 Monastyrskiĭ, Mikhail Il’ich 2 Nash, John Forbes jun. 2 Nikolaev, Eugene V. 2 Nirenberg, Louis 2 Pastur, Leonid Andreevich 2 Pellegrinotti, Alessandro 2 Pirogov, Sergeĭ A. 2 Poghosyan, Suren K. 2 Posvyanskii, Vladimir S. 2 Prokhorov, Yuriĭ Vasil’evich 2 Raussen, Martin 2 Rofe-Beketov, Fedor Semenovich 2 Roitberg, M. A. ...and 224 more Co-Authors all top 5 Serials 51 Russian Mathematical Surveys 19 Journal of Statistical Physics 16 Communications in Mathematical Physics 12 Functional Analysis and its Applications 11 Uspekhi Matematicheskikh Nauk [N. S.] 8 Soviet Mathematics. Doklady 7 Teoriya Veroyatnosteĭ i eë Primeneniya 6 Theory of Probability and its Applications 5 Ergodic Theory and Dynamical Systems 4 Theoretical and Mathematical Physics 4 Regular and Chaotic Dynamics 4 Translations. Series 2. American Mathematical Society 3 Problems of Information Transmission 3 Soviet Scientific Reviews. Section C 3 Selecta Mathematica Sovietica 3 Physica D 3 Notices of the American Mathematical Society 3 Chaos 3 Moscow Mathematical Journal 2 Doklady Akademii Nauk SSSR 2 Nonlinearity 2 Physica A 2 Fundamenta Mathematicae 2 Funktsional’nyĭ Analiz i ego Prilozheniya 2 Journal of Soviet Mathematics 2 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 2 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 2 Boletim da Sociedade Brasileira de Matemática. Nova Série 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 European Mathematical Society Newsletter 2 Journal of the European Mathematical Society (JEMS) 2 Communications in Contemporary Mathematics 2 Advanced Series in Nonlinear Dynamics 2 Encyclopaedia of Mathematical Sciences 1 Communications on Pure and Applied Mathematics 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Mathematical Notes 1 Matematicheskie Zametki 1 Reports on Mathematical Physics 1 Reviews in Mathematical Physics 1 Journal of Geometry and Physics 1 Advances in Mathematics 1 The Annals of Probability 1 Commentarii Mathematici Helvetici 1 Journal of Number Theory 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Alkalmazott Matematikai Lapok. A Magyar Tudomanyos Akademia. Matematikai es Fizikai Tudomanyok Osztalyanak Közlemenyei 1 Automation and Remote Control 1 Mathematics of the USSR, Sbornik 1 Problemy Peredachi Informatsii 1 Bulletin of the American Mathematical Society. New Series 1 Topological Methods in Nonlinear Analysis 1 Trudy Seminara Imeni I. G. Petrovskogo 1 Russian Journal of Mathematical Physics 1 Doklady Mathematics 1 Annals of Mathematics. Second Series 1 Bulletin of the Brazilian Mathematical Society. New Series 1 PMM, Journal of Applied Mathematics and Mechanics 1 Pure and Applied Mathematics Quarterly 1 Advances in Probability and Related Topics 1 Advances in Soviet Mathematics 1 Contemporary Mathematics 1 DMV Seminar 1 Grundlehren der Mathematischen Wissenschaften 1 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya 1 Lecture Notes Series. Aarhus University 1 Mathematical Notes (Princeton) 1 Princeton Mathematical Series 1 Journal of Fixed Point Theory and Applications 1 Japanese Journal of Mathematics. 3rd Series 1 Bulletin of Mathematical Sciences 1 Moscow Journal of Combinatorics and Number Theory 1 Universitext 1 Springer Collected Works in Mathematics 1 The Abel Prize all top 5 Fields 125 Dynamical systems and ergodic theory (37-XX) 89 Probability theory and stochastic processes (60-XX) 64 Statistical mechanics, structure of matter (82-XX) 63 History and biography (01-XX) 44 Partial differential equations (35-XX) 42 Measure and integration (28-XX) 31 Fluid mechanics (76-XX) 22 Number theory (11-XX) 16 General and overarching topics; collections (00-XX) 15 Operator theory (47-XX) 14 Quantum theory (81-XX) 10 Differential geometry (53-XX) 9 Mechanics of particles and systems (70-XX) 8 Ordinary differential equations (34-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Functional analysis (46-XX) 4 Manifolds and cell complexes (57-XX) 3 Difference and functional equations (39-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functions of a complex variable (30-XX) 2 Integral equations (45-XX) 2 General topology (54-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Information and communication theory, circuits (94-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 202 Publications have been cited 4,121 times in 3,169 Documents Cited by ▼ Year ▼ Ergodic theory. Transl. from the Russian by A. B. Sossinskii. Zbl 0493.28007Cornfeld, I. P.; Fomin, S. V.; Sinai, Ya. G. 369 1982 Gibbs measures in ergodic theory. (Gibbssche Maße in der Ergodentheorie.) Zbl 0246.28008Sinai, Ya. G. 197 1972 Dynamical systems with elastic reflections. [Ergodic properties of dispersing billiards]. Zbl 0263.58011Sinaĭ, Ya. G. 192 1970 Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics. Zbl 0852.35097E, Weinan; Rykov, Yu. G.; Sinai, Ya. G. 173 1996 On the concept of entropy for a dynamic system. Zbl 0086.10102Sinai, Ya. G. 126 1959 Statistical properties of Lorentz gas with periodic configuration of scatterers. Zbl 0459.60099Bunimovich, L. A.; Sinai, Ya. G. 117 1981 The limiting behavior of a one-dimensional random walk in a random medium. Zbl 0505.60086Sinaj, Ya. G. 114 1982 Invariant measures for Burgers equation with stochastic forcing. Zbl 0972.35196E, Weinan; Khanin, K.; Mazel, A.; Sinai, Ya. 112 2000 Some smooth ergodic systems. With an appendix by G. A. Margulis. Zbl 0177.42002Anosov, D. V.; Sinaĭ, Ya. G. 112 1967 Dynamical systems with elastic reflections. Ergodic properties of dispersing billiards. Zbl 0252.58005Sinai, Ya. G. 101 1970 Investigation of the stability of a stationary solution of a system of equations for the plane movement of an incompressible viscous liquid. Zbl 0108.39501Meshalkin, L. D.; Sinai, Ya. G. 98 1961 Spacetime chaos in coupled map lattices. Zbl 0679.58028Bunimovich, L. A.; Sinaj, Ya. G. 86 1988 Gibbsian dynamics and ergodicity for the stochastically forced Navier-Stokes equation. Zbl 0994.60065E, Weinan; Mattingly, J. C.; Sinai, Ya. 82 2001 Anderson localization for one-dimensional difference Schrödinger operator with quasiperiodic potential. Zbl 0682.34023Sinaj, Ya. G. 82 1987 Markov partitions and \(C\)-diffeomorphisms. Zbl 0182.55003Sinai, Ya. G. 78 1968 Statistical properties of two-dimensional hyperbolic billiards. Zbl 0780.58029Bunimovich, L. A.; Sinaĭ, Ya. G.; Chernov, N. I. 74 1991 Gibbs measures for partially hyperbolic attractors. Zbl 0519.58035Pesin, Ya. B.; Sinai, Ya. G. 71 1982 Statistics of shocks in solutions of inviscid Burgers equation. Zbl 0755.60105Sinaĭ, Ya. G. 70 1992 Gibbs measures in ergodic theory. Zbl 0255.28016Sinai, Ya. G. 68 1973 Markov partitions for two-dimensional hyperbolic billiards. Zbl 0721.58036Bunimovich, L. A.; Sinaj, Ya. G.; Chernov, N. I. 67 1990 The one-dimensional Schrödinger equation with a quasiperiodic potential. Zbl 0333.34014Dinaburg, E. I.; Sinai, Ya. G. 66 1976 Markov partitions for dispersed billiards. Zbl 0453.60098Bunimovich, L. A.; Sinai, Ya. G. 59 1980 Central limit theorem for traces of large random symmetric matrices with independent matrix elements. Zbl 0912.15027Sinai, Ya.; Soshnikov, A. 58 1998 Topics in ergodic theory. Zbl 0805.58005Sinai, Ya. G. 57 1994 Steady-state electrical conduction in the periodic Lorentz gas. Zbl 0780.58050Chernov, N. I.; Eyink, G. L.; Lebowitz, J. L.; Sinaĭ, Ya. G. 57 1993 Introduction to ergodic theory. Translated by V. Scheffer. Zbl 0375.28011Sinai, Ya. G. 55 1976 Smoothness of conjugacies of diffeomorphisms of the circle with rotations. Zbl 0701.58053Sinaj, Ya. G.; Khanin, K. M. 47 1989 On the Boltzmann equation for the Lorentz gas. Zbl 0583.76092Boldrighini, C.; Bunimovich, L. A.; Sinai, Ya. G. 47 1983 Two results concerning asymptotic behavior of solutions of the Burgers equation with force. Zbl 0978.35500Sinai, Ya. G. 44 1991 Ergodic properties of certain systems of two-dimensional discs and three- dimensional balls. Zbl 0644.58007Sinaĭ, Ya. G.; Chernov, N. I. 39 1987 A refinement of Wigner’s semicircle law in a neighborhood of the spectrum edge for random symmetric matrices. Zbl 0930.15025Sinajĭ, Ya. G.; Soshnikov, A. B. 38 1998 Theory of probability and random processes. 2nd ed. Zbl 1181.60004Koralov, Leonid B.; Sinai, Yakov G. 36 2007 Feigenbaum universality and the thermodynamic formalism. Zbl 0561.58033Vul, E. B.; Sinaj, Ya. G.; Khanin, K. M. 35 1984 Self-similar probability distributions. Zbl 0358.60031Sinai, Ya. G. 30 1976 An elementary proof of the existence and uniqueness theorem for the Navier-Stokes equations. Zbl 0961.35112Mattingly, J. C.; Sinai, Ya. G. 29 1999 Blow ups of complex solutions of the 3D Navier-Stokes system and renormalization group method. Zbl 1151.35073Li, Dong; Sinai, Ya. G. 29 2008 A new proof of M. Herman’s theorem. Zbl 0628.58021Khanin, K. M.; Sinaj, Ya. G. 28 1987 A remark concerning random walks with random potentials. Zbl 0835.60062Sinai, Yakov G. 25 1995 Statistical properties of two-dimensional hyperbolic billiards. Zbl 0748.58014Bunimovich, L. A.; Sinaĭ, Ya. G.; Chernov, N. I. 24 1991 Symmetric random walks in random environments. Zbl 0512.60058Anshelevich, V. V.; Khanin, K. M.; Sinai, Ya. G. 24 1982 Classical dynamical systems with countably-multiple Lebesgue spectrum. II. Zbl 0213.34002Sinai, Ya. G. 24 1966 The central limit theorem for geodesic flows on manifolds of constant negative curvature. Zbl 0129.31103Sinai, Ya. G. 23 1960 Construction and properties of invariant measurable partitions. Zbl 0161.34301Rokhlin, V. A.; Sinai, Ya. G. 23 1961 Ergodic properties of square-free numbers. Zbl 1325.37010Cellarosi, Francesco; Sinai, Yakov G. 22 2013 Mixing for some classes of special flows over rotations of the circle. Zbl 0797.58045Sinaĭ, Ya. G.; Khanin, K. M. 22 1992 Construction of Markov partitions. Zbl 0194.22602Sinai, Ya. G. 22 1968 Theory of dynamical systems and general transformation groups with invariant measure. Zbl 0399.28011Katok, A. B.; Sinai, Ya. G.; Stepin, A. M. 19 1975 On a fundamental theorem in the theory of dispersing billiards. Zbl 0281.58009Bunimovich, L. A.; Sinai, Ya. G. 19 1974 Anderson localization for the 1-D discrete Schrödinger operator with two-frequency potential. Zbl 0743.60058Chulaevskii, V. A.; Sinai, Ya. G. 18 1989 Space-time chaos in chains of weakly interacting hyperbolic mappings. Zbl 0850.70250Pesin, Ya. B.; Sinaĭ, Ya. G. 15 1991 Probabilistic approach to the analysis of statistics for convex polygonal lines. Zbl 0832.60099Sinai, Ya. G. 15 1994 One-dimensional classical massive particle in the ideal gas. Zbl 0589.60084Sinai, Ya. G.; Soloveichik, M. R. 14 1986 Burgers system driven by a periodic stochastic flow. Zbl 0866.35148Sinai, Ya. G. 13 1996 Ergodic theory. (Ehrgodicheskaya teoriya). Zbl 0508.28008Kornfel’d, I. P.; Sinaj, Ya. G.; Fomin, S. V. 13 1980 Dynamical systems with countably-multiple Lebesgue spectrum. I. Zbl 0109.11204Sinai, Ya. G. 12 1961 Billiard trajectories in a polyhedral angle. Zbl 0415.28021Sinai, Ya. G. 11 1978 Dynamical systems with countably-multiple Lebesgue spectrum. I. Zbl 0275.60058Sinai, Ya. G. 11 1964 Statistical properties of the spectra of Laplace-Beltrami operators on Liouville surfaces. Zbl 0838.58041Kosygin, D. V.; Minasov, A. A.; Sinai, Ya. G. 11 1993 An answer to a question by J. Milnor. Zbl 0594.28023Sinaj, Ya. G. 11 1985 Theory of phase transitions: rigorous results. Transl. from the Russian by J. Fritz, A. Krámli, P. Major and D. Szász. Zbl 0537.60097Sinaj, Ya. G. 11 1982 Limit behaviour of large Frobenius numbers. Zbl 1151.11046Bourgain, J.; Sinai, Ya. G. 11 2007 Scaling dynamics of a massive piston in an ideal gas. Zbl 1127.82308Lebowitz, J. L.; Piasecki, J.; Sinai, Ya. 10 2000 Weak mixing in interval exchange transformations of periodic type. Zbl 1105.37002Sinai, YA. G.; Ulcigrai, C. 10 2005 Limit behavior of the one-dimensional random walks in random environments. Zbl 0497.60065Sinaj, Ya. G. 10 1982 The asymptotic behavior of the number of closed geodesics on a compact manifold of negative curvature. Zbl 0146.18103Sinai, Ya. G. 10 1966 Statistical mechanics of coupled map lattices. Zbl 0791.60099Bunimovich, L. A.; Sinai, Ya. G. 9 1993 Kolmogorov’s work on ergodic theory. Zbl 0748.01004Sinai, Ya. G. 9 1989 A remark concerning the thermodynamical limit of the Lyapunov spectrum. Zbl 0876.34058Sinai, Ya. G. 9 1996 Ising models on the Lobachevsky plane. Zbl 0692.60088Series, C. M.; Sinai, Ya. G. 9 1990 Some problems of non-commutative ergodic theory. Zbl 0365.46053Sinai, Ya. G.; Anshelevich, V. V. 8 1976 Dynamical systems, ergodic theory and applications. Edited by Ya. G. Sinai. Transl. from the Russian. 2nd, expanded and rev. ed. Zbl 1100.00500Bunimovich, L. A.; Dani, S. G.; Dobrushin, R. L.; Jakobson, M. V.; Kornfeld, I. P.; Maslova, N. B.; Pesin, Ya. B.; Sinai, Ya. G.; Smillie, J.; Sukhov, Yu. M.; Vershik, A. M. 8 2000 Distribution of some functionals of the integral of a random walk. Zbl 0810.60063Sinaĭ, Ya. G. 8 1992 Loop condensation effects in the behaviour of random walks. Zbl 0814.60063Khanin, K. M.; Mazel, A. E.; Shlosman, S. B.; Sinai, Ya. G. 8 1994 Dynamics of a massive piston immersed in an ideal gas. Zbl 1046.37056Lebowitz, J. L.; Sinaĭ, Ya. G.; Chernov, N. I. 8 2002 A random walk with a random potential. Zbl 0807.60069Sinaĭ, Ya. G. 8 1993 Complex singularities of solutions of some 1D hydrodynamic models. Zbl 1143.76391Li, Dong; Sinai, Ya. G. 8 2008 Power series for solutions of the 3D Navier-Stokes system on \(\mathbb R^3\). Zbl 1089.76011Sinai, Yakov 8 2005 A limit theorem for Birkhoff sums of non-integrable functions over rotations. Zbl 1154.37307Sinai, Yakov G.; Ulcigrai, Corinna 8 2008 Renewal-type limit theorem for the Gauss map and continued fractions. Zbl 1151.37010Sinai, Yakov G.; Ulcigrai, Corinna 8 2008 Weak isomorphism of transformations with an invariant measure. Zbl 0205.13501Sinai, Ya. G. 8 1962 Some mathematical problems in the theory of quantum chaos. Zbl 0713.58057Sinaj, Ya. G. 8 1990 Mathematical problems in the theory of quantum chaos. Zbl 0771.46042Sinai, Ya. G. 7 1991 Phase diagrams of one-dimensional lattice models with long-range antiferromagnetic interaction. Zbl 0989.82517Burkov, S. E.; Sinaĭ, Ya. G. 7 1983 Simple random walks on tori. Zbl 0948.60030Sinai, Ya. G. 7 1999 Poisson distribution in a geometric problem. Zbl 0744.60016Sinai, Ya. G. 7 1991 Recent results on mathematical and statistical hydrodynamics. Zbl 0983.76010E, Weinan; Sinai, Yakov 7 2000 Scaling dynamics of a massive piston in a cube filled with ideal gas: exact results. Zbl 1211.76093Chernov, N.; Lebowitz, J. L.; Sinai, Ya. 7 2002 Non-standard limit theorems in number theory. Zbl 1273.60024Cellarosi, Francesco; Sinai, Yakov G. 7 2013 Adiabatic piston as a dynamical system. Zbl 1142.82351Neishtadt, A. I.; Sinai, Y. G. 7 2004 Complex singularities of the Burgers system and renormalization group method. Zbl 1171.35106Li, Dong; Sinai, Ya. G. 7 2008 Evaluation of the parameters of a complex stationary Gauss-Markov process. Zbl 0136.40702Arato, M.; Kolmogorov, A. N.; Sinai, Ya. G. 7 1962 Chaos theory yesterday, today and tomorrow. Zbl 1187.37051Sinai, Y. G. 6 2010 Billiard trajectories in a polyhedral angle. Zbl 0426.28019Sinai, Ya. G. 6 1978 Dynamical systems II. Ergodic theory with applications to dynamical systems and statistical mechanics. Transl. from the Russian. Zbl 0778.00014 6 1989 Limiting-type theorem for conditional distributions of products of independent unimodular \(2\times2\) matrices. Zbl 0760.60010Nechaev, S. K.; Sinai, Ya. G. 6 1991 The Lax-Oleinik variational principle for some one-dimensional systems of quasilinear equations. Zbl 0848.35073Veinan, I.; Rykov, Yu. G.; Sinai, Ya. G. 6 1995 Dynamics of a heavy particle surrounded by a finite number of light particles. Zbl 1005.82020Sinai, Ya. G. 6 1999 Navier-Stokes system on the flat cylinder and unit square with slip boundary conditions. Zbl 1189.35248Dinaburg, Efim; Li, Dong; Sinai, Yakov G. 6 2010 Singularities of complex-valued solutions of the two-dimensional Burgers system. Zbl 1309.35113Li, Dong; Sinai, Yakov G. 6 2010 Hyperbolicity conditions for the Lorenz model. Zbl 1194.37043Sinai, Jakov G.; Vul, Elena B. 6 1981 The Abel Prize 2013–2017. Zbl 1419.01001 1 2019 Ergodic and statistical properties of \(\mathcal B\)-free numbers. Zbl 1378.11084Avdeeva, M.; Cellarosi, F.; Sinai, Ya. G. 1 2017 New limiting distributions for the Möbius function. Zbl 1318.11100Avdeeva, Maria; Li, Dong; Sinai, Yakov G. 2 2014 Ludvig Dmitrievich Faddeev (on his 80th birthday). Zbl 1311.01030Aref’eva, I. Ya.; Buchstaber, V. M.; Velikhov, E. P.; Zhizhchenko, A. B.; Zakharov, V. E.; Ibragimov, I. A.; Kislyakov, S. V.; Kozlov, V. V.; Kulish, P. P.; Lipatov, L. N.; Maslov, V. P.; Matveev, V. A.; Novikov, S. P.; Osipov, Yu. S.; Polyakov, A. M.; Rubakov, V. A.; Semenov-Tian-Shansky, M. A.; Simonov, Yu. A.; Sinai, Ya. G.; Slavnov, A. A.; Sokolov, I. A.; Takhtajan, L. A.; Fortov, V. E.; Shatashvili, S. L. 1 2014 Ergodic properties of square-free numbers. Zbl 1325.37010Cellarosi, Francesco; Sinai, Yakov G. 22 2013 Non-standard limit theorems in number theory. Zbl 1273.60024Cellarosi, Francesco; Sinai, Yakov G. 7 2013 Nonsymmetric bifurcations of solutions of the 2D Navier-Stokes system. Zbl 1237.35128Li, Dong; Sinai, Yakov G. 4 2012 Statistics of gaps in the sequence \(\{\sqrt{n}\}\). Zbl 1259.37008Sinai, Ya. G. 3 2012 Bifurcations of solutions of the 2-dimensional Navier-Stokes system. Zbl 1346.37049Li, Dong; Sinai, Yakov G. 1 2012 The Möbius function and statistical mechanics. Zbl 1291.11138Cellarosi, F.; Sinai, Ya. G. 4 2011 Chaos theory yesterday, today and tomorrow. Zbl 1187.37051Sinai, Y. G. 6 2010 Navier-Stokes system on the flat cylinder and unit square with slip boundary conditions. Zbl 1189.35248Dinaburg, Efim; Li, Dong; Sinai, Yakov G. 6 2010 Singularities of complex-valued solutions of the two-dimensional Burgers system. Zbl 1309.35113Li, Dong; Sinai, Yakov G. 6 2010 Blowups of complex-valued solutions for some hydrodynamic models. Zbl 1205.35227Li, D.; Sinai, Ya. G. 3 2010 Selecta. Volume I: Ergodic theory and dynamical systems. Zbl 1201.01054Sinai, Yakov G. 3 2010 Limiting distribution of Frobenius numbers for \(n=3\). Zbl 1229.11050Shchur, V. L.; Sinai, Ya. G.; Ustinov, A. V. 5 2009 Asymptotic behavior of generalized convolutions. Zbl 1229.47089Li, D.; Sinai, Ya. G. 4 2009 Estimates from above of certain double trigonometric sums. Zbl 1257.11076Sinai, Yakov G.; Ulcigrai, Corinna 2 2009 A new boundary problem for the two-dimensional Navier-Stokes system. Zbl 1168.76012Dinaburg, Efim; Li, Dong; Sinai, Yakov G. 1 2009 Separating solution of a quadratic recurrent equation. Zbl 1186.39009Sinai, Y. G.; Vinogradov, I. 1 2009 Blow ups of complex solutions of the 3D Navier-Stokes system and renormalization group method. Zbl 1151.35073Li, Dong; Sinai, Ya. G. 29 2008 Complex singularities of solutions of some 1D hydrodynamic models. Zbl 1143.76391Li, Dong; Sinai, Ya. G. 8 2008 A limit theorem for Birkhoff sums of non-integrable functions over rotations. Zbl 1154.37307Sinai, Yakov G.; Ulcigrai, Corinna 8 2008 Renewal-type limit theorem for the Gauss map and continued fractions. Zbl 1151.37010Sinai, Yakov G.; Ulcigrai, Corinna 8 2008 Complex singularities of the Burgers system and renormalization group method. Zbl 1171.35106Li, Dong; Sinai, Ya. G. 7 2008 Limit theorem for trigonometric sums. Theory of curlicues. Zbl 1172.37005Sinai, Ya G. 5 2008 Statistical properties of the cluster dynamics of the systems of statistical mechanics. Zbl 1156.82304Gabrielov, A.; Keilis-Borok, V.; Sinai, Ya.; Zaliapin, I. 3 2008 Global existence and uniqueness theorem for 3D-Navier-Stokes system on \(\mathbb T^3\) for small initial conditions in the spaces \(\Phi(\alpha)\). Zbl 1146.35074Sinai, Ya. G.; Arnold, M. D. 2 2008 Two limit theorems. Zbl 1153.37306Sinai, Ya G. 1 2008 Theory of probability and random processes. 2nd ed. Zbl 1181.60004Koralov, Leonid B.; Sinai, Yakov G. 36 2007 Limit behaviour of large Frobenius numbers. Zbl 1151.11046Bourgain, J.; Sinai, Ya. G. 11 2007 On a separating solution of a recurrent equation. Zbl 1229.40002Sinai, Ya. G. 4 2007 From Kolmogorov’s work on entropy of dynamical systems to non-uniformly hyperbolic dynamics. Zbl 1369.37009Kosygin, Denis V.; Sinai, Yakov G. 1 2007 A condition for continuous spectrum of an interval exchange transformation. Zbl 1109.37001Bufetov, Alexander; Sinai, Yakov G.; Ulcigrai, Corinna 3 2006 Mathematical events of the twentieth century. Transl. from the Russian. Zbl 1072.01002 1 2006 Weak mixing in interval exchange transformations of periodic type. Zbl 1105.37002Sinai, YA. G.; Ulcigrai, C. 10 2005 Power series for solutions of the 3D Navier-Stokes system on \(\mathbb R^3\). Zbl 1089.76011Sinai, Yakov 8 2005 On local and global existence and uniqueness of solutions of the 3D Navier-Stokes systems on \(\mathbb R^3\). Zbl 1184.35249Sinai, Ya. G. 3 2005 Diagrammatic approach to the 3D Navier-Stokes system. Zbl 1165.35431Sinai, Ya G. 3 2005 Adiabatic piston as a dynamical system. Zbl 1142.82351Neishtadt, A. I.; Sinai, Y. G. 7 2004 What is …a billiard? Zbl 1168.37309Sinai, Yakov 4 2004 On solutions with infinite energy and enstrophy of the Navier-Stokes system. Zbl 1083.76012Bakhtin, Yu. Yu.; Dinaburg, E. I.; Sinaĭ, Ya. G. 2 2004 Statistical \((3x+1)\) problem. Zbl 1044.11006Sinai, Ya. G. 4 2003 Uniform distribution in the \((3x+1)\)-problem. Zbl 1050.60008Sinai, Ya. G. 2 2003 On some approximations of the quasi-geostrophic equation. Zbl 1054.35050Dinaburg, Efim I.; Posvyanskii, Vladimir S.; Sinai, Yakov G. 1 2003 Russian mathematicians in the 20th century. Zbl 1079.01023 1 2003 Dynamics of a massive piston immersed in an ideal gas. Zbl 1046.37056Lebowitz, J. L.; Sinaĭ, Ya. G.; Chernov, N. I. 8 2002 Scaling dynamics of a massive piston in a cube filled with ideal gas: exact results. Zbl 1211.76093Chernov, N.; Lebowitz, J. L.; Sinai, Ya. 7 2002 Selected works of Eberhard Hopf. With commentaries. Edited by Cathleen S. Morawetz, James B. Serrin and Yakov G. Sinai. Zbl 1011.01017Hopf, Eberhard 3 2002 Structure theorem for \((d,g,h)\)-maps. Zbl 1055.11009Kontorovich, A. V.; Sinai, Ya. G. 1 2002 Gibbsian dynamics and ergodicity for the stochastically forced Navier-Stokes equation. Zbl 0994.60065E, Weinan; Mattingly, J. C.; Sinai, Ya. 82 2001 A quasilinear approximation for the three-dimensional Navier-Stokes system. Zbl 1016.76016Dinaburg, E. I.; Sinai, Ya. G. 5 2001 Invariant measures for Burgers equation with stochastic forcing. Zbl 0972.35196E, Weinan; Khanin, K.; Mazel, A.; Sinai, Ya. 112 2000 Scaling dynamics of a massive piston in an ideal gas. Zbl 1127.82308Lebowitz, J. L.; Piasecki, J.; Sinai, Ya. 10 2000 Dynamical systems, ergodic theory and applications. Edited by Ya. G. Sinai. Transl. from the Russian. 2nd, expanded and rev. ed. Zbl 1100.00500Bunimovich, L. A.; Dani, S. G.; Dobrushin, R. L.; Jakobson, M. V.; Kornfeld, I. P.; Maslova, N. B.; Pesin, Ya. B.; Sinai, Ya. G.; Smillie, J.; Sukhov, Yu. M.; Vershik, A. M. 8 2000 Recent results on mathematical and statistical hydrodynamics. Zbl 0983.76010E, Weinan; Sinai, Yakov 7 2000 Basic notions of ergodic theory and examples of dynamical systems. 2nd, expanded and rev. ed. Zbl 1417.37021Kornfeld, I. P.; Sinai, Ya. G. 4 2000 Simple random walks along orbits of Anosov diffeomorphisms. Zbl 0985.60045Kaloshin, V. Yu.; Sinai, Ya. G. 3 2000 Nonsymmetric simple random walks along orbits of ergodic automorphisms. Zbl 0961.60070Kaloshin, V. Yu; Sinai, Ya. G. 3 2000 A model of non-equilibrium statistical mechanics. Zbl 1026.82521Piasecki, J.; Sinai, Ya. G. 2 2000 An elementary proof of the existence and uniqueness theorem for the Navier-Stokes equations. Zbl 0961.35112Mattingly, J. C.; Sinai, Ya. G. 29 1999 Simple random walks on tori. Zbl 0948.60030Sinai, Ya. G. 7 1999 Dynamics of a heavy particle surrounded by a finite number of light particles. Zbl 1005.82020Sinai, Ya. G. 6 1999 A mechanism of ergodicity in standard-like maps. (Extended abstract). Zbl 0971.37028Sinai, Ya. G. 2 1999 Navier-Stokes systems with periodic boundary conditions. Zbl 1005.35074Sinai, Ya. G. 1 1999 Selected works. Appendix: Reminiscences of V. A. Rokhlin by V. I. Arnol’d, A. M. Vershik, S. P. Novikov and Ya. G. Sinaĭ. With commentaries on Rokhlin’s work by N. Yu. Netsvetaev and Vershik. Edited and with a preface by Vershik. (Избранные работы. Воспоминания о В. А. Рохлине.) Zbl 1206.01078Rokhlin, V. A. 1 1999 Central limit theorem for traces of large random symmetric matrices with independent matrix elements. Zbl 0912.15027Sinai, Ya.; Soshnikov, A. 58 1998 A refinement of Wigner’s semicircle law in a neighborhood of the spectrum edge for random symmetric matrices. Zbl 0930.15025Sinajĭ, Ya. G.; Soshnikov, A. B. 38 1998 Remark on the (non)convergence of ensemble densities in dynamical systems. Zbl 0987.37006Goldstein, S.; Lebowitz, J. L.; Sinai, Y. 3 1998 Asymptotic behavior of solutions of 1D-Burgers equation with quasi-periodic forcing. Zbl 0918.35026Sinai, Ya. G. 2 1998 Parabolic perturbations of Hamilton-Jacobi equations. Zbl 0918.70010Sinai, Ya. 1 1998 Distribution of the maximum of a fractional Brownian motion. Zbl 0927.60054Sinaĭ, Ya. G. 4 1997 Classical nonintegrability, quantum chaos. With a contribution by Viviane Baladi. Zbl 0867.58050Knauf, Andreas; Sinai, Yakov G. 4 1997 Splitting of the low Landau levels into a set of positive Lebesgue measure under small periodic perturbations. Zbl 0888.60055Dinaburg, E. I.; Sinai, Ya. G.; Soshnikov, A. B. 4 1997 Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics. Zbl 0852.35097E, Weinan; Rykov, Yu. G.; Sinai, Ya. G. 173 1996 Burgers system driven by a periodic stochastic flow. Zbl 0866.35148Sinai, Ya. G. 13 1996 A remark concerning the thermodynamical limit of the Lyapunov spectrum. Zbl 0876.34058Sinai, Ya. G. 9 1996 Remarks on the delocalization transition for heteropolymers. Zbl 0879.60114Sinai, Ya. G.; Spohn, H. 3 1996 Fractal properties of critical invariant curves. Zbl 0957.37022Hunt, Brian R.; Khanin, Konstantin M.; Sinai, Yakov G.; Yorke, James A. 1 1996 A remark concerning random walks with random potentials. Zbl 0835.60062Sinai, Yakov G. 25 1995 The Lax-Oleinik variational principle for some one-dimensional systems of quasilinear equations. Zbl 0848.35073Veinan, I.; Rykov, Yu. G.; Sinai, Ya. G. 6 1995 Topics in ergodic theory. Transl. from the English. (Современные проблемы ергодическои теории.) Zbl 0834.58028Sinai, Ya. G. 5 1995 Distribution of energy levels of quantum free particle on the Liouville surface and trace formulae. Zbl 0842.58072Bleher, Pavel M.; Kosygin, Denis V.; Sinai, Yakov G. 3 1995 Self-avoiding walks in five or more dimensions: polymer expansion approach. Zbl 0855.60066Khanin, K. M.; Lebowitz, J. L.; Mazel, A. E.; Sinai, Ya. G. 2 1995 Geodesic flows on manifolds of negative curvature. Zbl 0860.58032Sinai, Ya. G. 2 1995 Topics in ergodic theory. Zbl 0805.58005Sinai, Ya. G. 57 1994 Probabilistic approach to the analysis of statistics for convex polygonal lines. Zbl 0832.60099Sinai, Ya. G. 15 1994 Loop condensation effects in the behaviour of random walks. Zbl 0814.60063Khanin, K. M.; Mazel, A. E.; Shlosman, S. B.; Sinai, Ya. G. 8 1994 Steady-state electrical conduction in the periodic Lorentz gas. Zbl 0780.58050Chernov, N. I.; Eyink, G. L.; Lebowitz, J. L.; Sinaĭ, Ya. G. 57 1993 Statistical properties of the spectra of Laplace-Beltrami operators on Liouville surfaces. Zbl 0838.58041Kosygin, D. V.; Minasov, A. A.; Sinai, Ya. G. 11 1993 Statistical mechanics of coupled map lattices. Zbl 0791.60099Bunimovich, L. A.; Sinai, Ya. G. 9 1993 A random walk with a random potential. Zbl 0807.60069Sinaĭ, Ya. G. 8 1993 Statistics of shocks in solutions of inviscid Burgers equation. Zbl 0755.60105Sinaĭ, Ya. G. 70 1992 Mixing for some classes of special flows over rotations of the circle. Zbl 0797.58045Sinaĭ, Ya. G.; Khanin, K. M. 22 1992 Distribution of some functionals of the integral of a random walk. Zbl 0810.60063Sinaĭ, Ya. G. 8 1992 Probability theory. An introductory course. Transl. from the Russian by D. Haughton. Zbl 0780.60001Sinai, Yakov G. 3 1992 A limiting distribution connected with fractional parts of linear forms. Zbl 0762.60020Mazel, A. E.; Sinai, Ya. G. 2 1992 Statistical properties of two-dimensional hyperbolic billiards. Zbl 0780.58029Bunimovich, L. A.; Sinaĭ, Ya. G.; Chernov, N. I. 74 1991 Two results concerning asymptotic behavior of solutions of the Burgers equation with force. Zbl 0978.35500Sinai, Ya. G. 44 1991 Statistical properties of two-dimensional hyperbolic billiards. Zbl 0748.58014Bunimovich, L. A.; Sinaĭ, Ya. G.; Chernov, N. I. 24 1991 ...and 102 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,360 Authors 48 Sinaĭ, Yakov Grigor’evich 34 Dolgopyat, Dmitry 33 Bunimovich, Leonid Abramovich 32 Chernov, Nikolai Ivanovich 23 Szász, Domokos 23 Zhang, Hongkun 21 Khanin, Konstantin M. 17 Li, Dong 17 Young, Lai-Sang 16 Melbourne, Ian 16 Varandas, Paulo 15 Dzhalilov, Akhtam Abdurakhmanovich 15 Gallavotti, Giovanni M. 14 Jitomirskaya, Svetlana Yakovlevna 14 Lemańczyk, Mariusz 14 Markarian, Roberto 14 Marklof, Jens 14 Pène, Françoise 14 Yang, Hanchun 13 Pesin, Yakov Borisovich 13 Ruelle, David Pierre 13 Zhang, Yanyan 12 Zhang, Yu 11 Bálint, Péter 11 Chen, Zhimin 11 Erdős, László 11 Lebowitz, Joel Louis 11 Pollicott, Mark 11 Simányi, Nándor J. 11 Viana, Marcelo 10 Araújo, Vítor 10 Climenhaga, Vaughn 10 de la Llave, Rafael 10 Demers, Mark F. 10 Liverani, Carlangelo 10 Nándori, Péter 10 Shi, Zhan 9 Alves, José Ferreira 9 Bakhtin, Yuri Yu. 9 Boldrighini, Carlo 9 Bowen, Rufus 9 Frisch, Uriel 9 Kuksin, Sergeĭ B. 9 Noorani, Mohd Salmi Mohd 9 Ulcigrai, Corinna 9 Yang, Jiagang 9 Yau, Horng-Tzer 9 Zhao, Huaizhong 8 Fayad, Bassam R. 8 Gaspard, Pierre 8 Glatt-Holtz, Nathan E. 8 Goldsheid, Ilya Ya. 8 Gurevich, Boris 8 Hairer, Martin 8 Hu, Yueyun 8 Kanigowski, Adam 8 Kułaga-Przymus, Joanna 8 Kupiainen, Antti 8 Lenci, Marco 8 Leonel, Edson Denis 8 Nedeljkov, Marko 8 Nersesyan, Vahagn 8 Nicol, Matthew 8 Rodriguez Hertz, Jana 8 Rondoni, Lamberto 8 Turaev, Dmitry V. 8 Vaienti, Sandro 8 You, Jiangong 8 Zelditch, Steve 7 Akhadkulov, Habibulla 7 Andreoletti, Pierre 7 Antoniou, Ioannis E. 7 Baake, Michael 7 Bricmont, Jean 7 Comets, Francis M. 7 Courbage, Maurice 7 Debussche, Arnaud 7 Del Magno, Gianluigi 7 Dettmann, Carl P. 7 Dinaburg, Efim I. 7 Emch, Gerard G. 7 Frączek, Krzysztof Marek 7 Golse, François 7 Keller, Gerhard 7 Krámli, András 7 Ledrappier, François 7 Leonenko, Nikolai N. 7 Mattingly, Jonathan Christopher 7 Narnhofer, Heide 7 Pulvirenti, Mario 7 Radko, Timour 7 Ratner, Marina 7 Rykov, Yurii G. 7 Shelkovich, Vladimir M. 7 Shirikyan, Armen R. 7 Soshnikov, Alexander B. 7 Spohn, Herbert 7 Strömbergsson, Andreas 7 Tóth, Imre Péter 7 Wang, Jinhuan ...and 3,260 more Authors all top 5 Cited in 446 Serials 254 Journal of Statistical Physics 253 Communications in Mathematical Physics 113 Physica D 106 Ergodic Theory and Dynamical Systems 85 Chaos 62 Journal of Mathematical Physics 62 Journal of Differential Equations 59 The Annals of Probability 59 Stochastic Processes and their Applications 57 Israel Journal of Mathematics 56 Discrete and Continuous Dynamical Systems 55 Probability Theory and Related Fields 51 Transactions of the American Mathematical Society 41 Journal of Mathematical Analysis and Applications 39 Chaos, Solitons and Fractals 39 Advances in Mathematics 38 Inventiones Mathematicae 37 Journal of Functional Analysis 33 Nonlinearity 31 Proceedings of the American Mathematical Society 29 Mathematical Notes 26 Annales de l’Institut Henri Poincaré. 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Studies in History and Philosophy of Modern Physics ...and 346 more Serials all top 5 Cited in 61 Fields 1,538 Dynamical systems and ergodic theory (37-XX) 833 Probability theory and stochastic processes (60-XX) 599 Partial differential equations (35-XX) 560 Statistical mechanics, structure of matter (82-XX) 380 Fluid mechanics (76-XX) 236 Measure and integration (28-XX) 158 Quantum theory (81-XX) 144 Ordinary differential equations (34-XX) 129 Operator theory (47-XX) 127 Number theory (11-XX) 116 Mechanics of particles and systems (70-XX) 100 Numerical analysis (65-XX) 92 Differential geometry (53-XX) 74 Global analysis, analysis on manifolds (58-XX) 70 Statistics (62-XX) 63 Linear and multilinear algebra; matrix theory (15-XX) 61 Functional analysis (46-XX) 47 Information and communication theory, circuits (94-XX) 46 General topology (54-XX) 45 Combinatorics (05-XX) 45 Biology and other natural sciences (92-XX) 38 Manifolds and cell complexes (57-XX) 37 Systems theory; control (93-XX) 34 Topological groups, Lie groups (22-XX) 33 Computer science (68-XX) 30 Group theory and generalizations (20-XX) 30 Difference and functional equations (39-XX) 27 Real functions (26-XX) 25 Geophysics (86-XX) 23 Functions of a complex variable (30-XX) 22 Convex and discrete geometry (52-XX) 19 History and biography (01-XX) 19 Harmonic analysis on Euclidean spaces (42-XX) 19 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 18 Several complex variables and analytic spaces (32-XX) 17 Relativity and gravitational theory (83-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 15 Operations research, mathematical programming (90-XX) 14 General and overarching topics; collections (00-XX) 13 Special functions (33-XX) 13 Abstract harmonic analysis (43-XX) 13 Astronomy and astrophysics (85-XX) 12 Mechanics of deformable solids (74-XX) 11 Integral equations (45-XX) 9 Mathematical logic and foundations (03-XX) 8 Optics, electromagnetic theory (78-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Algebraic geometry (14-XX) 6 Potential theory (31-XX) 6 Geometry (51-XX) 5 Approximations and expansions (41-XX) 4 Sequences, series, summability (40-XX) 3 Integral transforms, operational calculus (44-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Commutative algebra (13-XX) 2 Category theory; homological algebra (18-XX) 2 Algebraic topology (55-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 \(K\)-theory (19-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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