Edit Profile (opens in new tab) Sinaĭ, Yakov Grigor’evich Co-Author Distance 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.; Sinaï, 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 Videos: carmin.tv Awards: Wolf Prize (1997) · Abel Prize (2014) Documents Indexed: 295 Publications since 1957, including 16 Books and 3 Additional arXiv Preprints 18 Contributions as Editor · 8 Further Contributions Biographic References: 13 Publications Co-Authors: 294 Co-Authors with 200 Joint Publications 8,057 Co-Co-Authors all top 5 Co-Authors 115 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 Kolmogorov, Andreĭ Nikolaevich 7 Kornfel’d, I. P. 7 Tikhomirov, Vladimir Mikhaĭlovich 6 Boldrighini, Carlo 6 Kozlov, Valeriĭ Vasil’evich 6 Maslov, Viktor Pavlovich 6 Osipov, Yuriĭ Sergeevich 6 Stëpin, Anatoliĭ Mikhaĭlovich 5 Cellarosi, Francesco 5 E, Weinan 5 Gurevich, Boris 5 Il’yashenko, Yuliĭ 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 Jakobson, Michael 4 Kashin, Boris Sergeevich 4 Kirillov, Alexandre Aleksandrovich 4 Marchenko, Vladimir Aleksandrovich 4 Nechaev, Sergeĭ Konstantinovich 4 Shlosman, Senya B. 4 Suhov, Yurii Mikhailovich 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 Pellegrinotti, Alessandro 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 2 Anshelevich, Vadim V. 2 Aptekarev, Alexander Ivanovich 2 Arnol’d, M. D. 2 Aseev, Sergei M. 2 Bogolyubov, Nikolaĭ Nikolaevich 2 Borisyuk, Roman M. 2 Deligne, Pierre 2 Fomin, Sergeĭ Vasil’evich 2 Frigio, Sandro 2 Gromov, Mikhael Leonidovich 2 Khelemskiĭ, Aleksandr Yakovlevich 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 Maponi, Pierluigi 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 Pirogov, Sergeĭ A. 2 Poghosyan, Suren K. 2 Posvyanskii, Vladimir S. 2 Prokhorov, Yuriĭ Vasil’evich 2 Raußen, Martin ...and 226 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.] 9 Soviet Mathematics. Doklady 7 Teoriya Veroyatnosteĭ i eë Primeneniya 6 Theory of Probability and its Applications 5 Ergodic Theory and Dynamical Systems 5 Regular and Chaotic Dynamics 4 Theoretical and Mathematical Physics 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 1 Springer-Textbook all top 5 Fields 127 Dynamical systems and ergodic theory (37-XX) 89 Probability theory and stochastic processes (60-XX) 64 History and biography (01-XX) 64 Statistical mechanics, structure of matter (82-XX) 44 Partial differential equations (35-XX) 42 Measure and integration (28-XX) 32 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) 10 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 Numerical analysis (65-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 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 213 Publications have been cited 5,710 times in 4,390 Documents Cited by ▼ Year ▼ Ergodic theory. Transl. from the Russian by A. B. Sossinskii. Zbl 0493.28007 Cornfeld, I. P.; Fomin, S. V.; Sinai, Ya. G. 624 1982 Gibbs measures in ergodic theory. (Gibbssche Maße in der Ergodentheorie.) Zbl 0246.28008 Sinai, Ya. G. 244 1972 Dynamical systems with elastic reflections. [Ergodic properties of dispersing billiards]. Zbl 0263.58011 Sinaĭ, Ya. G. 236 1970 Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics. Zbl 0852.35097 E, Weinan; Rykov, Yu. G.; Sinai, Ya. G. 209 1996 On the concept of entropy for a dynamic system. Zbl 0086.10102 Sinai, Ya. G. 199 1959 The limiting behavior of a one-dimensional random walk in a random medium. Zbl 0505.60086 Sinaj, Ya. G. 170 1982 Invariant measures for Burgers equation with stochastic forcing. Zbl 0972.35196 E, Weinan; Khanin, K.; Mazel, A.; Sinai, Ya. 144 2000 Statistical properties of Lorentz gas with periodic configuration of scatterers. Zbl 0459.60099 Bunimovich, L. A.; Sinai, Ya. G. 138 1981 Some smooth ergodic systems. With an appendix by G. A. Margulis. Zbl 0177.42002 Anosov, D. V.; Sinaĭ, Ya. G. 136 1967 Markov partitions and \(C\)-diffeomorphisms. Zbl 0182.55003 Sinai, Ya. G. 122 1968 Investigation of the stability of a stationary solution of a system of equations for the plane movement of an incompressible viscous liquid. Zbl 0108.39501 Meshalkin, L. D.; Sinai, Ya. G. 122 1961 Dynamical systems with elastic reflections. Ergodic properties of dispersing billiards. Zbl 0252.58005 Sinai, Ya. G. 121 1970 Anderson localization for one-dimensional difference Schrödinger operator with quasiperiodic potential. Zbl 0682.34023 Sinaj, Ya. G. 110 1987 Gibbs measures in ergodic theory. Zbl 0255.28016 Sinai, Ya. G. 108 1973 Spacetime chaos in coupled map lattices. Zbl 0679.58028 Bunimovich, L. A.; Sinaj, Ya. G. 103 1988 Gibbsian dynamics and ergodicity for the stochastically forced Navier-Stokes equation. Zbl 0994.60065 E, Weinan; Mattingly, J. C.; Sinai, Ya. 95 2001 The one-dimensional Schrödinger equation with a quasiperiodic potential. Zbl 0333.34014 Dinaburg, E. I.; Sinai, Ya. G. 94 1976 Gibbs measures for partially hyperbolic attractors. Zbl 0519.58035 Pesin, Ya. B.; Sinai, Ya. G. 91 1982 Statistical properties of two-dimensional hyperbolic billiards. Zbl 0780.58029 Bunimovich, L. A.; Sinaĭ, Ya. G.; Chernov, N. I. 88 1991 Theory of phase transitions: rigorous results. Transl. from the Russian by J. Fritz, A. Krámli, P. Major and D. Szász. Zbl 0537.60097 Sinaj, Ya. G. 88 1982 Introduction to ergodic theory. Translated by V. Scheffer. Zbl 0375.28011 Sinai, Ya. G. 78 1976 Statistics of shocks in solutions of inviscid Burgers equation. Zbl 0755.60105 Sinaĭ, Ya. G. 77 1992 Markov partitions for two-dimensional hyperbolic billiards. Zbl 0721.58036 Bunimovich, L. A.; Sinaj, Ya. G.; Chernov, N. I. 77 1990 Topics in ergodic theory. Zbl 0805.58005 Sinai, Ya. G. 70 1994 Central limit theorem for traces of large random symmetric matrices with independent matrix elements. Zbl 0912.15027 Sinai, Ya.; Soshnikov, A. 69 1998 Markov partitions for dispersed billiards. Zbl 0453.60098 Bunimovich, L. A.; Sinai, Ya. G. 64 1980 Limit behavior of the one-dimensional random walks in random environments. Zbl 0497.60065 Sinaj, Ya. G. 62 1982 Steady-state electrical conduction in the periodic Lorentz gas. Zbl 0780.58050 Chernov, N. I.; Eyink, G. L.; Lebowitz, J. L.; Sinaĭ, Ya. G. 61 1993 Ergodic theory. (Ehrgodicheskaya teoriya). Zbl 0508.28008 Kornfel’d, I. P.; Sinaj, Ya. G.; Fomin, S. V. 60 1980 Theory of probability and random processes. 2nd ed. Zbl 1181.60004 Koralov, Leonid B.; Sinai, Yakov G. 59 2007 On the Boltzmann equation for the Lorentz gas. Zbl 0583.76092 Boldrighini, C.; Bunimovich, L. A.; Sinai, Ya. G. 57 1983 Two results concerning asymptotic behavior of solutions of the Burgers equation with force. Zbl 0978.35500 Sinai, Ya. G. 55 1991 Smoothness of conjugacies of diffeomorphisms of the circle with rotations. Zbl 0701.58053 Sinaj, Ya. G.; Khanin, K. M. 55 1989 Ergodic properties of certain systems of two-dimensional discs and three- dimensional balls. Zbl 0644.58007 Sinaĭ, Ya. G.; Chernov, N. I. 51 1987 Construction of Markov partitions. Zbl 0194.22602 Sinai, Ya. G. 49 1968 A refinement of Wigner’s semicircle law in a neighborhood of the spectrum edge for random symmetric matrices. Zbl 0930.15025 Sinajĭ, Ya. G.; Soshnikov, A. B. 45 1998 Construction and properties of invariant measurable partitions. Zbl 0161.34301 Rokhlin, V. A.; Sinai, Ya. G. 42 1961 Feigenbaum universality and the thermodynamic formalism. Zbl 0561.58033 Vul, E. B.; Sinaj, Ya. G.; Khanin, K. M. 40 1984 Self-similar probability distributions. Zbl 0358.60031 Sinai, Ya. G. 37 1976 Statistical properties of two-dimensional hyperbolic billiards. Zbl 0748.58014 Bunimovich, L. A.; Sinaĭ, Ya. G.; Chernov, N. I. 36 1991 Blow ups of complex solutions of the 3D Navier-Stokes system and renormalization group method. Zbl 1151.35073 Li, Dong; Sinai, Ya. G. 36 2008 Dynamical systems II. Ergodic theory with applications to dynamical systems and statistical mechanics. Transl. from the Russian. Zbl 0778.00014 35 1989 A new proof of M. Herman’s theorem. Zbl 0628.58021 Khanin, K. M.; Sinaj, Ya. G. 35 1987 An elementary proof of the existence and uniqueness theorem for the Navier-Stokes equations. Zbl 0961.35112 Mattingly, J. C.; Sinai, Ya. G. 34 1999 A remark concerning random walks with random potentials. Zbl 0835.60062 Sinai, Yakov G. 31 1995 Ergodic properties of square-free numbers. Zbl 1325.37010 Cellarosi, Francesco; Sinai, Yakov G. 28 2013 The central limit theorem for geodesic flows on manifolds of constant negative curvature. Zbl 0129.31103 Sinai, Ya. G. 28 1960 Mixing for some classes of special flows over rotations of the circle. Zbl 0797.58045 Sinaĭ, Ya. G.; Khanin, K. M. 27 1992 Anderson localization for the 1-D discrete Schrödinger operator with two-frequency potential. Zbl 0743.60058 Chulaevskii, V. A.; Sinai, Ya. G. 27 1989 Classical dynamical systems with countably-multiple Lebesgue spectrum. II. Zbl 0213.34002 Sinai, Ya. G. 25 1966 Symmetric random walks in random environments. Zbl 0512.60058 Anshelevich, V. V.; Khanin, K. M.; Sinai, Ya. G. 24 1982 Evaluation of the parameters of a complex stationary Gauss-Markov process. Zbl 0136.40702 Arato, M.; Kolmogorov, A. N.; Sinai, Ya. G. 24 1962 On the foundations of the ergodic hypothesis for a dynamical system of statistical mechanics. Zbl 1542.37009 Sinaĭ, Ya. G. 22 1963 Theory of phase transitions. Strong results. (Teoriya fazovykh perekhodov. Strogie rezul’taty). Zbl 0508.60084 Sinaj, Ya. G. 21 1980 Probabilistic approach to the analysis of statistics for convex polygonal lines. Zbl 0832.60099 Sinai, Ya. G. 19 1994 Distribution of some functionals of the integral of a random walk. Zbl 0810.60063 Sinaĭ, Ya. G. 19 1992 Theory of dynamical systems and general transformation groups with invariant measure. Zbl 0399.28011 Katok, A. B.; Sinai, Ya. G.; Stepin, A. M. 19 1975 On a fundamental theorem in the theory of dispersing billiards. Zbl 0281.58009 Bunimovich, L. A.; Sinai, Ya. G. 19 1974 Space-time chaos in chains of weakly interacting hyperbolic mappings. Zbl 0850.70250 Pesin, Ya. B.; Sinaĭ, Ya. G. 17 1991 Weak mixing in interval exchange transformations of periodic type. Zbl 1105.37002 Sinai, YA. G.; Ulcigrai, C. 15 2005 Burgers system driven by a periodic stochastic flow. Zbl 0866.35148 Sinai, Ya. G. 14 1996 One-dimensional classical massive particle in the ideal gas. Zbl 0589.60084 Sinai, Ya. G.; Soloveichik, M. R. 14 1986 Limit behaviour of large Frobenius numbers. Zbl 1151.11046 Bourgain, J.; Sinai, Ya. G. 13 2007 An answer to a question by J. Milnor. Zbl 0594.28023 Sinaj, Ya. G. 13 1985 Dynamical systems with countably-multiple Lebesgue spectrum. I. Zbl 0109.11204 Sinai, Ya. G. 13 1961 Statistical properties of the spectra of Laplace-Beltrami operators on Liouville surfaces. Zbl 0838.58041 Kosygin, D. V.; Minasov, A. A.; Sinai, Ya. G. 12 1993 Billiard trajectories in a polyhedral angle. Zbl 0415.28021 Sinai, Ya. G. 12 1978 Kolmogorov’s work on ergodic theory. Zbl 0748.01004 Sinai, Ya. G. 12 1989 Power series for solutions of the 3D Navier-Stokes system on \(\mathbb R^3\). Zbl 1089.76011 Sinai, Yakov 12 2005 Ising models on the Lobachevsky plane. Zbl 0692.60088 Series, C. M.; Sinai, Ya. G. 12 1990 The asymptotic behavior of the number of closed geodesics on a compact manifold of negative curvature. Zbl 0146.18103 Sinai, Ya. G. 12 1966 Statistical mechanics of coupled map lattices. Zbl 0791.60099 Bunimovich, L. A.; Sinai, Ya. G. 11 1993 A random walk with a random potential. Zbl 0807.60069 Sinaĭ, Ya. G. 11 1993 A remark concerning the thermodynamical limit of the Lyapunov spectrum. Zbl 0876.34058 Sinai, Ya. G. 11 1996 Recent results on mathematical and statistical hydrodynamics. Zbl 0983.76010 E, Weinan; Sinai, Yakov 11 2000 Dynamical systems with countably-multiple Lebesgue spectrum. I. Zbl 0275.60058 Sinai, Ya. G. 11 1964 Scaling dynamics of a massive piston in an ideal gas. Zbl 1127.82308 Lebowitz, J. L.; Piasecki, J.; Sinai, Ya. 10 2000 Simple random walks on tori. Zbl 0948.60030 Sinai, Ya. G. 10 1999 Dynamical systems, ergodic theory and applications. Edited by Ya. G. Sinai. Transl. from the Russian. 2nd, expanded and rev. ed. Zbl 1100.00500 Bunimovich, 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. 10 2000 Hyperbolicity conditions for the Lorenz model. Zbl 1194.37043 Sinai, Jakov G.; Vul, Elena B. 10 1981 Some mathematical problems in the theory of quantum chaos. Zbl 0713.58057 Sinaj, Ya. G. 10 1990 Flows with finite entropy. Zbl 0117.35202 Sinai, Ya. G. 10 1959 Loop condensation effects in the behaviour of random walks. Zbl 0814.60063 Khanin, K. M.; Mazel, A. E.; Shlosman, S. B.; Sinai, Ya. G. 9 1994 Dynamics of a massive piston immersed in an ideal gas. Zbl 1046.37056 Lebowitz, J. L.; Sinaĭ, Ya. G.; Chernov, N. I. 9 2002 Some problems of non-commutative ergodic theory. Zbl 0365.46053 Sinai, Ya. G.; Anshelevich, V. V. 9 1976 Complex singularities of solutions of some 1D hydrodynamic models. Zbl 1143.76391 Li, Dong; Sinai, Ya. G. 9 2008 Renewal-type limit theorem for the Gauss map and continued fractions. Zbl 1151.37010 Sinai, Yakov G.; Ulcigrai, Corinna 9 2008 Complex singularities of the Burgers system and renormalization group method. Zbl 1171.35106 Li, Dong; Sinai, Ya. G. 9 2008 Singularities of complex-valued solutions of the two-dimensional Burgers system. Zbl 1309.35113 Li, Dong; Sinai, Yakov G. 9 2010 Weak isomorphism of transformations with an invariant measure. Zbl 0205.13501 Sinai, Ya. G. 9 1962 The Lax-Oleinik variational principle for some one-dimensional systems of quasilinear equations. Zbl 0848.35073 E, Weinan; Rykov, Yu. G.; Sinai, Ya. G. 8 1995 Phase diagrams of one-dimensional lattice models with long-range antiferromagnetic interaction. Zbl 0989.82517 Burkov, S. E.; Sinaĭ, Ya. G. 8 1983 Mathematical problems in the theory of quantum chaos. Zbl 0771.46042 Sinai, Ya. G. 8 1991 Poisson distribution in a geometric problem. Zbl 0744.60016 Sinai, Ya. G. 8 1991 Theory of dynamical systems. Part I: Ergodic theory. Edition in English by A. Szankowski, based on notes in Polish prepared by J. Strelcyn. Zbl 0221.28006 Sinai, J. G. 8 1970 Selected works of Eberhard Hopf. With commentaries. Edited by Cathleen S. Morawetz, James B. Serrin and Yakov G. Sinai. Zbl 1011.01017 Hopf, Eberhard 8 2002 Dynamics of a heavy particle surrounded by a finite number of light particles. Zbl 1005.82020 Sinai, Ya. G. 7 1999 A quasilinear approximation for the three-dimensional Navier-Stokes system. Zbl 1016.76016 Dinaburg, E. I.; Sinai, Ya. G. 7 2001 Scaling dynamics of a massive piston in a cube filled with ideal gas: exact results. Zbl 1211.76093 Chernov, N.; Lebowitz, J. L.; Sinai, Ya. 7 2002 Classical nonintegrability, quantum chaos. With a contribution by Viviane Baladi. Zbl 0867.58050 Knauf, Andreas; Sinai, Yakov G. 7 1997 Nineteen fifty-four: Kolmogorov’s new “metrical approach” to Hamiltonian dynamics. Zbl 07920602 Chierchia, Luigi; Fascitiello, Isabella 1 2024 The Abel Prize 2013–2017. Zbl 1419.01001 2 2019 Ergodic and statistical properties of \(\mathcal B\)-free numbers. Zbl 1378.11084 Avdeeva, M.; Cellarosi, F.; Sinai, Ya. G. 5 2017 Dynamical systems, ergodic theory, and probability. In memory of Kolya Chernov. Conference dedicated to the memory of Nikolai Chernov, University of Alabama at Birmingham, Birmingham, AL, USA, May 18–20, 2015. Zbl 1376.37001 1 2017 New limiting distributions for the Möbius function. Zbl 1318.11100 Avdeeva, Maria; Li, Dong; Sinai, Yakov G. 2 2014 Ludvig Dmitrievich Faddeev (on his 80th birthday). Zbl 1311.01030 Aref’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 1325.37010 Cellarosi, Francesco; Sinai, Yakov G. 28 2013 Non-standard limit theorems in number theory. Zbl 1273.60024 Cellarosi, Francesco; Sinai, Yakov G. 7 2013 Nonsymmetric bifurcations of solutions of the 2D Navier-Stokes system. Zbl 1237.35128 Li, Dong; Sinai, Yakov G. 5 2012 Statistics of gaps in the sequence \(\{\sqrt{n}\}\). Zbl 1259.37008 Sinai, Ya. G. 4 2012 Bifurcations of solutions of the 2-dimensional Navier-Stokes system. Zbl 1346.37049 Li, Dong; Sinai, Yakov G. 2 2012 The Möbius function and statistical mechanics. Zbl 1291.11138 Cellarosi, F.; Sinai, Ya. G. 4 2011 Singularities of complex-valued solutions of the two-dimensional Burgers system. Zbl 1309.35113 Li, Dong; Sinai, Yakov G. 9 2010 Chaos theory yesterday, today and tomorrow. Zbl 1187.37051 Sinai, Y. G. 6 2010 Navier-Stokes system on the flat cylinder and unit square with slip boundary conditions. Zbl 1189.35248 Dinaburg, Efim; Li, Dong; Sinai, Yakov G. 6 2010 Blowups of complex-valued solutions for some hydrodynamic models. Zbl 1205.35227 Li, D.; Sinai, Ya. G. 4 2010 Selecta. Volume I: Ergodic theory and dynamical systems. Zbl 1201.01054 Sinai, Yakov G. 3 2010 Limiting distribution of Frobenius numbers for \(n=3\). Zbl 1229.11050 Shchur, V. L.; Sinai, Ya. G.; Ustinov, A. V. 5 2009 Asymptotic behavior of generalized convolutions. Zbl 1229.47089 Li, D.; Sinai, Ya. G. 4 2009 Estimates from above of certain double trigonometric sums. Zbl 1257.11076 Sinai, Yakov G.; Ulcigrai, Corinna 2 2009 A new boundary problem for the two-dimensional Navier-Stokes system. Zbl 1168.76012 Dinaburg, Efim; Li, Dong; Sinai, Yakov G. 1 2009 Separating solution of a quadratic recurrent equation. Zbl 1186.39009 Sinai, Y. G.; Vinogradov, I. 1 2009 Blow ups of complex solutions of the 3D Navier-Stokes system and renormalization group method. Zbl 1151.35073 Li, Dong; Sinai, Ya. G. 36 2008 Complex singularities of solutions of some 1D hydrodynamic models. Zbl 1143.76391 Li, Dong; Sinai, Ya. G. 9 2008 Renewal-type limit theorem for the Gauss map and continued fractions. Zbl 1151.37010 Sinai, Yakov G.; Ulcigrai, Corinna 9 2008 Complex singularities of the Burgers system and renormalization group method. Zbl 1171.35106 Li, Dong; Sinai, Ya. G. 9 2008 A limit theorem for Birkhoff sums of non-integrable functions over rotations. Zbl 1154.37307 Sinai, Yakov G.; Ulcigrai, Corinna 7 2008 Limit theorem for trigonometric sums. Theory of curlicues. Zbl 1172.37005 Sinai, Ya G. 6 2008 Statistical properties of the cluster dynamics of the systems of statistical mechanics. Zbl 1156.82304 Gabrielov, A.; Keilis-Borok, V.; Sinai, Ya.; Zaliapin, I. 6 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 1146.35074 Sinai, Ya. G.; Arnold, M. D. 2 2008 Two limit theorems. Zbl 1153.37306 Sinai, Ya G. 1 2008 Theory of probability and random processes. 2nd ed. Zbl 1181.60004 Koralov, Leonid B.; Sinai, Yakov G. 59 2007 Limit behaviour of large Frobenius numbers. Zbl 1151.11046 Bourgain, J.; Sinai, Ya. G. 13 2007 On a separating solution of a recurrent equation. Zbl 1229.40002 Sinai, Ya. G. 4 2007 From Kolmogorov’s work on entropy of dynamical systems to non-uniformly hyperbolic dynamics. Zbl 1369.37009 Kosygin, Denis V.; Sinai, Yakov G. 1 2007 A condition for continuous spectrum of an interval exchange transformation. Zbl 1109.37001 Bufetov, Alexander; Sinai, Yakov G.; Ulcigrai, Corinna 4 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 1105.37002 Sinai, YA. G.; Ulcigrai, C. 15 2005 Power series for solutions of the 3D Navier-Stokes system on \(\mathbb R^3\). Zbl 1089.76011 Sinai, Yakov 12 2005 Diagrammatic approach to the 3D Navier-Stokes system. Zbl 1165.35431 Sinai, Ya G. 6 2005 On local and global existence and uniqueness of solutions of the 3D Navier-Stokes systems on \(\mathbb R^3\). Zbl 1184.35249 Sinai, Ya. G. 4 2005 Adiabatic piston as a dynamical system. Zbl 1142.82351 Neishtadt, A. I.; Sinai, Y. G. 7 2004 What is …a billiard? Zbl 1168.37309 Sinai, Yakov 4 2004 On solutions with infinite energy and enstrophy of the Navier-Stokes system. Zbl 1083.76012 Bakhtin, Yu. Yu.; Dinaburg, E. I.; Sinaĭ, Ya. G. 3 2004 Mathematical hydrodynamics. Zbl 1186.76634 Sinai, Ya. G. 3 2004 Statistical \((3x+1)\) problem. Zbl 1044.11006 Sinai, Ya. G. 5 2003 Uniform distribution in the \((3x+1)\)-problem. Zbl 1050.60008 Sinai, Ya. G. 3 2003 Russian mathematicians in the 20th century. Zbl 1079.01023 2 2003 On some approximations of the quasi-geostrophic equation. Zbl 1054.35050 Dinaburg, Efim I.; Posvyanskii, Vladimir S.; Sinai, Yakov G. 1 2003 Dynamics of a massive piston immersed in an ideal gas. Zbl 1046.37056 Lebowitz, J. L.; Sinaĭ, Ya. G.; Chernov, N. I. 9 2002 Selected works of Eberhard Hopf. With commentaries. Edited by Cathleen S. Morawetz, James B. Serrin and Yakov G. Sinai. Zbl 1011.01017 Hopf, Eberhard 8 2002 Scaling dynamics of a massive piston in a cube filled with ideal gas: exact results. Zbl 1211.76093 Chernov, N.; Lebowitz, J. L.; Sinai, Ya. 7 2002 Structure theorem for \((d,g,h)\)-maps. Zbl 1055.11009 Kontorovich, A. V.; Sinai, Ya. G. 2 2002 Gibbsian dynamics and ergodicity for the stochastically forced Navier-Stokes equation. Zbl 0994.60065 E, Weinan; Mattingly, J. C.; Sinai, Ya. 95 2001 A quasilinear approximation for the three-dimensional Navier-Stokes system. Zbl 1016.76016 Dinaburg, E. I.; Sinai, Ya. G. 7 2001 Invariant measures for Burgers equation with stochastic forcing. Zbl 0972.35196 E, Weinan; Khanin, K.; Mazel, A.; Sinai, Ya. 144 2000 Recent results on mathematical and statistical hydrodynamics. Zbl 0983.76010 E, Weinan; Sinai, Yakov 11 2000 Scaling dynamics of a massive piston in an ideal gas. Zbl 1127.82308 Lebowitz, 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 1100.00500 Bunimovich, 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. 10 2000 Basic notions of ergodic theory and examples of dynamical systems. Zbl 1417.37021 Kornfeld, I. P.; Sinai, Ya. G. 7 2000 Nonsymmetric simple random walks along orbits of ergodic automorphisms. Zbl 0961.60070 Kaloshin, V. Yu; Sinai, Ya. G. 4 2000 Simple random walks along orbits of Anosov diffeomorphisms. Zbl 0985.60045 Kaloshin, V. Yu.; Sinai, Ya. G. 3 2000 A model of non-equilibrium statistical mechanics. Zbl 1026.82521 Piasecki, J.; Sinai, Ya. G. 2 2000 Stochasticity of smooth dynamical systems the elements of KAM-theory. Zbl 1417.37030 Sinai, Ya. G. 1 2000 An elementary proof of the existence and uniqueness theorem for the Navier-Stokes equations. Zbl 0961.35112 Mattingly, J. C.; Sinai, Ya. G. 34 1999 Simple random walks on tori. Zbl 0948.60030 Sinai, Ya. G. 10 1999 Dynamics of a heavy particle surrounded by a finite number of light particles. Zbl 1005.82020 Sinai, Ya. G. 7 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 1206.01078 Rokhlin, V. A. 3 1999 A mechanism of ergodicity in standard-like maps. (Extended abstract). Zbl 0971.37028 Sinai, Ya. G. 2 1999 Navier-Stokes systems with periodic boundary conditions. Zbl 1005.35074 Sinai, Ya. G. 1 1999 Central limit theorem for traces of large random symmetric matrices with independent matrix elements. Zbl 0912.15027 Sinai, Ya.; Soshnikov, A. 69 1998 A refinement of Wigner’s semicircle law in a neighborhood of the spectrum edge for random symmetric matrices. Zbl 0930.15025 Sinajĭ, Ya. G.; Soshnikov, A. B. 45 1998 Remark on the (non)convergence of ensemble densities in dynamical systems. Zbl 0987.37006 Goldstein, S.; Lebowitz, J. L.; Sinai, Y. 3 1998 Asymptotic behavior of solutions of 1D-Burgers equation with quasi-periodic forcing. Zbl 0918.35026 Sinai, Ya. G. 2 1998 Classical nonintegrability, quantum chaos. With a contribution by Viviane Baladi. Zbl 0867.58050 Knauf, Andreas; Sinai, Yakov G. 7 1997 Distribution of the maximum of a fractional Brownian motion. Zbl 0927.60054 Sinaĭ, Ya. G. 4 1997 Splitting of the low Landau levels into a set of positive Lebesgue measure under small periodic perturbations. Zbl 0888.60055 Dinaburg, E. I.; Sinai, Ya. G.; Soshnikov, A. B. 4 1997 Hyperbolicity and chaos. Zbl 1112.82303 Sinai, Yakov G. 1 1997 Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics. Zbl 0852.35097 E, Weinan; Rykov, Yu. G.; Sinai, Ya. G. 209 1996 Burgers system driven by a periodic stochastic flow. Zbl 0866.35148 Sinai, Ya. G. 14 1996 A remark concerning the thermodynamical limit of the Lyapunov spectrum. Zbl 0876.34058 Sinai, Ya. G. 11 1996 Remarks on the delocalization transition for heteropolymers. Zbl 0879.60114 Sinai, Ya. G.; Spohn, H. 3 1996 Fractal properties of critical invariant curves. Zbl 0957.37022 Hunt, Brian R.; Khanin, Konstantin M.; Sinai, Yakov G.; Yorke, James A. 2 1996 A remark concerning random walks with random potentials. Zbl 0835.60062 Sinai, Yakov G. 31 1995 The Lax-Oleinik variational principle for some one-dimensional systems of quasilinear equations. Zbl 0848.35073 E, Weinan; Rykov, Yu. G.; Sinai, Ya. G. 8 1995 Topics in ergodic theory. Transl. from the English. (Современные проблемы ергодическои теории.) Zbl 0834.58028 Sinai, Ya. G. 6 1995 Self-avoiding walks in five or more dimensions: polymer expansion approach. Zbl 0855.60066 Khanin, K. M.; Lebowitz, J. L.; Mazel, A. E.; Sinai, Ya. G. 4 1995 Distribution of energy levels of quantum free particle on the Liouville surface and trace formulae. Zbl 0842.58072 Bleher, Pavel M.; Kosygin, Denis V.; Sinai, Yakov G. 4 1995 Geodesic flows on manifolds of negative curvature. Zbl 0860.58032 Sinai, Ya. G. 2 1995 Topics in ergodic theory. Zbl 0805.58005 Sinai, Ya. G. 70 1994 Probabilistic approach to the analysis of statistics for convex polygonal lines. Zbl 0832.60099 Sinai, Ya. G. 19 1994 Loop condensation effects in the behaviour of random walks. Zbl 0814.60063 Khanin, K. M.; Mazel, A. E.; Shlosman, S. B.; Sinai, Ya. G. 9 1994 Steady-state electrical conduction in the periodic Lorentz gas. Zbl 0780.58050 Chernov, N. I.; Eyink, G. L.; Lebowitz, J. L.; Sinaĭ, Ya. G. 61 1993 Statistical properties of the spectra of Laplace-Beltrami operators on Liouville surfaces. Zbl 0838.58041 Kosygin, D. V.; Minasov, A. A.; Sinai, Ya. G. 12 1993 Statistical mechanics of coupled map lattices. Zbl 0791.60099 Bunimovich, L. A.; Sinai, Ya. G. 11 1993 A random walk with a random potential. Zbl 0807.60069 Sinaĭ, Ya. G. 11 1993 Statistics of shocks in solutions of inviscid Burgers equation. Zbl 0755.60105 Sinaĭ, Ya. G. 77 1992 Mixing for some classes of special flows over rotations of the circle. Zbl 0797.58045 Sinaĭ, Ya. G.; Khanin, K. M. 27 1992 Distribution of some functionals of the integral of a random walk. Zbl 0810.60063 Sinaĭ, Ya. G. 19 1992 Probability theory. An introductory course. Transl. from the Russian by D. Haughton. Zbl 0780.60001 Sinai, Yakov G. 4 1992 ...and 113 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,558 Authors 49 Sinaĭ, Yakov Grigor’evich 37 Bunimovich, Leonid Abramovich 36 Dolgopyat, Dmitry 33 Chernov, Nikolai Ivanovich 26 Szász, Domokos 26 Zhang, Hongkun 24 Khanin, Konstantin M. 20 Melbourne, Ian 19 Lemańczyk, Mariusz 18 Gaspard, Pierre 18 Pène, Françoise 18 Varandas, Paulo 17 Dzhalilov, Akhtam Abdurakhmanovich 17 Jitomirskaya, Svetlana Yakovlevna 17 Li, Dong 17 Rahmatullaev, Muzaffar 17 Young, Lai-Sang 16 Gallavotti, Giovanni M. 16 Yang, Hanchun 16 You, Jiangong 15 Demers, Mark F. 15 Marklof, Jens 15 Yang, Jiagang 14 Antoniou, Ioannis E. 14 Araújo, Vítor 14 Lebowitz, Joel Louis 14 Markarian, Roberto 14 Ruelle, David Pierre 14 Rykov, Yurii G. 14 Viana, Marcelo 14 Zhang, Yanyan 14 Zhang, Yu 13 Chen, Zhimin 13 Liverani, Carlangelo 13 Pesin, Yakov Borisovich 13 Ulcigrai, Corinna 12 Bakhtin, Yuri Yu. 12 Blank, Michael 12 de la Llave, Rafael 12 Erdős, László 12 Khakimov, Rustam M. 12 Leonel, Edson Denis 12 Podvigin, Ivan Viktorovich 12 Pollicott, Mark 12 Simányi, Nándor J. 12 Zhou, Qi 11 Alves, José Ferreira 11 Bálint, Péter 11 Climenhaga, Vaughn 11 Kuksin, Sergeĭ B. 11 Mukhamedov, Farruh Maksutovich 11 Nándori, Péter 11 Nersesyan, Vahagn 10 Comets, Francis M. 10 Frączek, Krzysztof Marek 10 Kanigowski, Adam 10 Kułaga-Przymus, Joanna 10 Obaya, Rafael 10 Rodriguez-Hertz, Federico 10 Rondoni, Lamberto 10 Rozikov, Utkir A. 10 Shepelyansky, Dima L. 10 Shi, Zhan 10 Turaev, Dmitry V. 10 Vershik, Anatoliĭ Moiseevich 10 Zhao, Huaizhong 9 Andreoletti, Pierre 9 Boldrighini, Carlo 9 Bowen, Rufus 9 Bufetov, Aleksandr Igorevich 9 Dettmann, Carl P. 9 Frisch, Uriel 9 Glatt-Holtz, Nathan E. 9 Golse, François 9 Gurevich, Boris 9 Huang, Wen 9 Kupiainen, Antti 9 Mattingly, Jonathan Christopher 9 Mi, Zeya 9 Noorani, Mohd Salmi Mohd 9 Savvidy, George K. 9 Stoyanov, Luchezar N. 9 Strömbergsson, Andreas 9 Tóth, Bálint 9 Ures, Raúl 9 Vaienti, Sandro 9 Vulpiani, Angelo 9 Yau, Horng-Tzer 8 Akhadkulov, Habibulla 8 Albeverio, Sergio A. 8 Avila, Artur 8 Behnia, Sohrab 8 Briane, Marc 8 Bricmont, Jean 8 Debussche, Arnaud 8 Dinaburg, Efim I. 8 Dong, Zhao 8 Fayad, Bassam R. 8 Goldsheid, Ilya Ya. 8 Hairer, Martin ...and 4,458 more Authors all top 5 Cited in 543 Serials 284 Journal of Statistical Physics 283 Communications in Mathematical Physics 174 Physica D 130 Ergodic Theory and Dynamical Systems 113 Chaos 87 Journal of Mathematical Physics 81 Journal of Differential Equations 80 Israel Journal of Mathematics 74 Stochastic Processes and their Applications 72 Probability Theory and Related Fields 72 Discrete and Continuous Dynamical Systems 63 The Annals of Probability 63 Transactions of the American Mathematical Society 61 Chaos, Solitons and Fractals 60 Nonlinearity 56 Advances in Mathematics 54 Journal of Mathematical Analysis and Applications 49 Physics Letters. 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Second Series ...and 443 more Serials all top 5 Cited in 61 Fields 2,089 Dynamical systems and ergodic theory (37-XX) 1,162 Probability theory and stochastic processes (60-XX) 816 Statistical mechanics, structure of matter (82-XX) 776 Partial differential equations (35-XX) 477 Fluid mechanics (76-XX) 325 Measure and integration (28-XX) 252 Quantum theory (81-XX) 196 Ordinary differential equations (34-XX) 186 Operator theory (47-XX) 184 Number theory (11-XX) 156 Mechanics of particles and systems (70-XX) 123 Numerical analysis (65-XX) 117 Differential geometry (53-XX) 108 Statistics (62-XX) 102 Combinatorics (05-XX) 95 Global analysis, analysis on manifolds (58-XX) 89 Functional analysis (46-XX) 85 Linear and multilinear algebra; matrix theory (15-XX) 71 Information and communication theory, circuits (94-XX) 66 Biology and other natural sciences (92-XX) 60 General topology (54-XX) 59 Computer science (68-XX) 59 Systems theory; control (93-XX) 54 Manifolds and cell complexes (57-XX) 53 Group theory and generalizations (20-XX) 48 Topological groups, Lie groups (22-XX) 41 Difference and functional equations (39-XX) 39 Real functions (26-XX) 37 Convex and discrete geometry (52-XX) 33 Harmonic analysis on Euclidean spaces (42-XX) 32 Geophysics (86-XX) 31 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 29 Functions of a complex variable (30-XX) 27 Several complex variables and analytic spaces (32-XX) 26 History and biography (01-XX) 24 Calculus of variations and optimal control; optimization (49-XX) 24 Relativity and gravitational theory (83-XX) 21 Operations research, mathematical programming (90-XX) 20 Mechanics of deformable solids (74-XX) 18 General and overarching topics; collections (00-XX) 18 Abstract harmonic analysis (43-XX) 17 Special functions (33-XX) 17 Optics, electromagnetic theory (78-XX) 16 Astronomy and astrophysics (85-XX) 15 Integral equations (45-XX) 15 Classical thermodynamics, heat transfer (80-XX) 13 Algebraic geometry (14-XX) 12 Geometry (51-XX) 11 Mathematical logic and foundations (03-XX) 10 Potential theory (31-XX) 7 Integral transforms, operational calculus (44-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Sequences, series, summability (40-XX) 5 Approximations and expansions (41-XX) 4 Commutative algebra (13-XX) 4 Associative rings and algebras (16-XX) 3 Nonassociative rings and algebras (17-XX) 3 Category theory; homological algebra (18-XX) 3 Algebraic topology (55-XX) 2 \(K\)-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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