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Sinaĭ, Yakov Grigor’evich

Author ID: sinai.yakov-grigorevic Recent zbMATH articles by "Sinaĭ, Yakov Grigor’evich"
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.
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)
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 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 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 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 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 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 224 more Co-Authors
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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

Publications by Year

Citations contained in zbMATH Open

209 Publications have been cited 5,398 times in 4,163 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.
598
1982
Gibbs measures in ergodic theory. (Gibbssche Maße in der Ergodentheorie.) Zbl 0246.28008
Sinai, Ya. G.
234
1972
Dynamical systems with elastic reflections. [Ergodic properties of dispersing billiards]. Zbl 0263.58011
Sinaĭ, Ya. G.
228
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.
201
1996
On the concept of entropy for a dynamic system. Zbl 0086.10102
Sinai, Ya. G.
186
1959
The limiting behavior of a one-dimensional random walk in a random medium. Zbl 0505.60086
Sinaj, Ya. G.
166
1982
Statistical properties of Lorentz gas with periodic configuration of scatterers. Zbl 0459.60099
Bunimovich, L. A.; Sinai, Ya. G.
138
1981
Invariant measures for Burgers equation with stochastic forcing. Zbl 0972.35196
E, Weinan; Khanin, K.; Mazel, A.; Sinai, Ya.
133
2000
Some smooth ergodic systems. With an appendix by G. A. Margulis. Zbl 0177.42002
Anosov, D. V.; Sinaĭ, Ya. G.
132
1967
Markov partitions and \(C\)-diffeomorphisms. Zbl 0182.55003
Sinai, Ya. G.
114
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.
113
1961
Dynamical systems with elastic reflections. Ergodic properties of dispersing billiards. Zbl 0252.58005
Sinai, Ya. G.
111
1970
Anderson localization for one-dimensional difference Schrödinger operator with quasiperiodic potential. Zbl 0682.34023
Sinaj, Ya. G.
104
1987
Spacetime chaos in coupled map lattices. Zbl 0679.58028
Bunimovich, L. A.; Sinaj, Ya. G.
101
1988
Gibbs measures in ergodic theory. Zbl 0255.28016
Sinai, Ya. G.
97
1973
The one-dimensional Schrödinger equation with a quasiperiodic potential. Zbl 0333.34014
Dinaburg, E. I.; Sinai, Ya. G.
91
1976
Gibbsian dynamics and ergodicity for the stochastically forced Navier-Stokes equation. Zbl 0994.60065
E, Weinan; Mattingly, J. C.; Sinai, Ya.
90
2001
Gibbs measures for partially hyperbolic attractors. Zbl 0519.58035
Pesin, Ya. B.; Sinai, Ya. G.
84
1982
Statistical properties of two-dimensional hyperbolic billiards. Zbl 0780.58029
Bunimovich, L. A.; Sinaĭ, Ya. G.; Chernov, N. I.
84
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.
81
1982
Markov partitions for two-dimensional hyperbolic billiards. Zbl 0721.58036
Bunimovich, L. A.; Sinaj, Ya. G.; Chernov, N. I.
77
1990
Statistics of shocks in solutions of inviscid Burgers equation. Zbl 0755.60105
Sinaĭ, Ya. G.
76
1992
Introduction to ergodic theory. Translated by V. Scheffer. Zbl 0375.28011
Sinai, Ya. G.
74
1976
Central limit theorem for traces of large random symmetric matrices with independent matrix elements. Zbl 0912.15027
Sinai, Ya.; Soshnikov, A.
69
1998
Topics in ergodic theory. Zbl 0805.58005
Sinai, Ya. G.
68
1994
Markov partitions for dispersed billiards. Zbl 0453.60098
Bunimovich, L. A.; Sinai, Ya. G.
66
1980
Steady-state electrical conduction in the periodic Lorentz gas. Zbl 0780.58050
Chernov, N. I.; Eyink, G. L.; Lebowitz, J. L.; Sinaĭ, Ya. G.
63
1993
Ergodic theory. (Ehrgodicheskaya teoriya). Zbl 0508.28008
Kornfel’d, I. P.; Sinaj, Ya. G.; Fomin, S. V.
57
1980
Limit behavior of the one-dimensional random walks in random environments. Zbl 0497.60065
Sinaj, Ya. G.
56
1982
On the Boltzmann equation for the Lorentz gas. Zbl 0583.76092
Boldrighini, C.; Bunimovich, L. A.; Sinai, Ya. G.
55
1983
Smoothness of conjugacies of diffeomorphisms of the circle with rotations. Zbl 0701.58053
Sinaj, Ya. G.; Khanin, K. M.
54
1989
Theory of probability and random processes. 2nd ed. Zbl 1181.60004
Koralov, Leonid B.; Sinai, Yakov G.
53
2007
Two results concerning asymptotic behavior of solutions of the Burgers equation with force. Zbl 0978.35500
Sinai, Ya. G.
49
1991
Ergodic properties of certain systems of two-dimensional discs and three- dimensional balls. Zbl 0644.58007
Sinaĭ, Ya. G.; Chernov, N. I.
47
1987
Construction of Markov partitions. Zbl 0194.22602
Sinai, Ya. G.
44
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.
44
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
Dynamical systems II. Ergodic theory with applications to dynamical systems and statistical mechanics. Transl. from the Russian. Zbl 0778.00014
35
1989
An elementary proof of the existence and uniqueness theorem for the Navier-Stokes equations. Zbl 0961.35112
Mattingly, J. C.; Sinai, Ya. G.
33
1999
Statistical properties of two-dimensional hyperbolic billiards. Zbl 0748.58014
Bunimovich, L. A.; Sinaĭ, Ya. G.; Chernov, N. I.
32
1991
Blow ups of complex solutions of the 3D Navier-Stokes system and renormalization group method. Zbl 1151.35073
Li, Dong; Sinai, Ya. G.
32
2008
A new proof of M. Herman’s theorem. Zbl 0628.58021
Khanin, K. M.; Sinaj, Ya. G.
32
1987
A remark concerning random walks with random potentials. Zbl 0835.60062
Sinai, Yakov G.
30
1995
The central limit theorem for geodesic flows on manifolds of constant negative curvature. Zbl 0129.31103
Sinai, Ya. G.
27
1960
Ergodic properties of square-free numbers. Zbl 1325.37010
Cellarosi, Francesco; Sinai, Yakov G.
26
2013
Mixing for some classes of special flows over rotations of the circle. Zbl 0797.58045
Sinaĭ, Ya. G.; Khanin, K. M.
26
1992
Classical dynamical systems with countably-multiple Lebesgue spectrum. II. Zbl 0213.34002
Sinai, Ya. G.
25
1966
Anderson localization for the 1-D discrete Schrödinger operator with two-frequency potential. Zbl 0743.60058
Chulaevskii, V. A.; Sinai, Ya. G.
24
1989
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.
21
1962
On a fundamental theorem in the theory of dispersing billiards. Zbl 0281.58009
Bunimovich, L. A.; Sinai, Ya. G.
20
1974
Theory of phase transitions. Strong results. (Teoriya fazovykh perekhodov. Strogie rezul’taty). Zbl 0508.60084
Sinaj, Ya. G.
20
1980
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
Distribution of some functionals of the integral of a random walk. Zbl 0810.60063
Sinaĭ, Ya. G.
19
1992
Probabilistic approach to the analysis of statistics for convex polygonal lines. Zbl 0832.60099
Sinai, Ya. G.
18
1994
Space-time chaos in chains of weakly interacting hyperbolic mappings. Zbl 0850.70250
Pesin, Ya. B.; Sinaĭ, Ya. G.
17
1991
Limit behaviour of large Frobenius numbers. Zbl 1151.11046
Bourgain, J.; Sinai, Ya. G.
14
2007
One-dimensional classical massive particle in the ideal gas. Zbl 0589.60084
Sinai, Ya. G.; Soloveichik, M. R.
14
1986
Weak mixing in interval exchange transformations of periodic type. Zbl 1105.37002
Sinai, YA. G.; Ulcigrai, C.
13
2005
An answer to a question by J. Milnor. Zbl 0594.28023
Sinaj, Ya. G.
13
1985
Burgers system driven by a periodic stochastic flow. Zbl 0866.35148
Sinai, Ya. G.
13
1996
Power series for solutions of the 3D Navier-Stokes system on \(\mathbb R^3\). Zbl 1089.76011
Sinai, Yakov
12
2005
Dynamical systems with countably-multiple Lebesgue spectrum. I. Zbl 0109.11204
Sinai, Ya. G.
12
1961
The asymptotic behavior of the number of closed geodesics on a compact manifold of negative curvature. Zbl 0146.18103
Sinai, Ya. G.
12
1966
Kolmogorov’s work on ergodic theory. Zbl 0748.01004
Sinai, Ya. G.
12
1989
Billiard trajectories in a polyhedral angle. Zbl 0415.28021
Sinai, Ya. G.
12
1978
Ising models on the Lobachevsky plane. Zbl 0692.60088
Series, C. M.; Sinai, Ya. G.
12
1990
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
Dynamical systems with countably-multiple Lebesgue spectrum. I. Zbl 0275.60058
Sinai, Ya. G.
11
1964
A random walk with a random potential. Zbl 0807.60069
Sinaĭ, Ya. G.
11
1993
Recent results on mathematical and statistical hydrodynamics. Zbl 0983.76010
E, Weinan; Sinai, Yakov
11
2000
Dynamics of a massive piston immersed in an ideal gas. Zbl 1046.37056
Lebowitz, J. L.; Sinaĭ, Ya. G.; Chernov, N. I.
10
2002
Some mathematical problems in the theory of quantum chaos. Zbl 0713.58057
Sinaj, Ya. G.
10
1990
Statistical mechanics of coupled map lattices. Zbl 0791.60099
Bunimovich, L. A.; Sinai, Ya. G.
10
1993
Scaling dynamics of a massive piston in an ideal gas. Zbl 1127.82308
Lebowitz, J. L.; Piasecki, J.; Sinai, Ya.
10
2000
A remark concerning the thermodynamical limit of the Lyapunov spectrum. Zbl 0876.34058
Sinai, Ya. G.
10
1996
Weak isomorphism of transformations with an invariant measure. Zbl 0205.13501
Sinai, Ya. G.
9
1962
Renewal-type limit theorem for the Gauss map and continued fractions. Zbl 1151.37010
Sinai, Yakov G.; Ulcigrai, Corinna
9
2008
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
Some problems of non-commutative ergodic theory. Zbl 0365.46053
Sinai, Ya. G.; Anshelevich, V. V.
9
1976
Basic notions of ergodic theory and examples of dynamical systems. 2nd, expanded and rev. ed. Zbl 1417.37021
Kornfeld, I. P.; Sinai, Ya. G.
8
2000
Phase diagrams of one-dimensional lattice models with long-range antiferromagnetic interaction. Zbl 0989.82517
Burkov, S. E.; Sinaĭ, Ya. G.
8
1983
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
Complex singularities of solutions of some 1D hydrodynamic models. Zbl 1143.76391
Li, Dong; Sinai, Ya. G.
8
2008
Mathematical problems in the theory of quantum chaos. Zbl 0771.46042
Sinai, Ya. G.
8
1991
Flows with finite entropy. Zbl 0117.35202
Sinai, Ya. G.
8
1959
Poisson distribution in a geometric problem. Zbl 0744.60016
Sinai, Ya. G.
8
1991
A limit theorem for Birkhoff sums of non-integrable functions over rotations. Zbl 1154.37307
Sinai, Yakov G.; Ulcigrai, Corinna
8
2008
Hyperbolicity conditions for the Lorenz model. Zbl 1194.37043
Sinai, Jakov G.; Vul, Elena B.
8
1981
Simple random walks on tori. Zbl 0948.60030
Sinai, Ya. G.
8
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.
8
2000
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.
8
2002
A quasilinear approximation for the three-dimensional Navier-Stokes system. Zbl 1016.76016
Dinaburg, E. I.; Sinai, Ya. G.
7
2001
Adiabatic piston as a dynamical system. Zbl 1142.82351
Neishtadt, A. I.; Sinai, Y. G.
7
2004
Topics in ergodic theory. Transl. from the English. (Современные проблемы ергодическои теории.) Zbl 0834.58028
Sinai, Ya. G.
7
1995
Complex singularities of the Burgers system and renormalization group method. Zbl 1171.35106
Li, Dong; Sinai, Ya. G.
7
2008
The Lax-Oleinik variational principle for some one-dimensional systems of quasilinear equations. Zbl 0848.35073
Veinan, I.; Rykov, Yu. G.; Sinai, Ya. G.
7
1995
Non-standard limit theorems in number theory. Zbl 1273.60024
Cellarosi, Francesco; Sinai, Yakov G.
7
2013
The Abel Prize 2013–2017. Zbl 1419.01001
1
2019
Ergodic and statistical properties of \(\mathcal B\)-free numbers. Zbl 1378.11084
Avdeeva, M.; Cellarosi, F.; Sinai, Ya. G.
5
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.
26
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.
4
2012
Statistics of gaps in the sequence \(\{\sqrt{n}\}\). Zbl 1259.37008
Sinai, Ya. G.
3
2012
Bifurcations of solutions of the 2-dimensional Navier-Stokes system. Zbl 1346.37049
Li, Dong; Sinai, Yakov G.
1
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.
7
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
Chaos theory yesterday, today and tomorrow. Zbl 1187.37051
Sinai, Y. G.
6
2010
Selecta. Volume I: Ergodic theory and dynamical systems. Zbl 1201.01054
Sinai, Yakov G.
3
2010
Blowups of complex-valued solutions for some hydrodynamic models. Zbl 1205.35227
Li, D.; Sinai, Ya. 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.
32
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 solutions of some 1D hydrodynamic models. Zbl 1143.76391
Li, Dong; Sinai, Ya. G.
8
2008
A limit theorem for Birkhoff sums of non-integrable functions over rotations. Zbl 1154.37307
Sinai, Yakov G.; Ulcigrai, Corinna
8
2008
Complex singularities of the Burgers system and renormalization group method. Zbl 1171.35106
Li, Dong; Sinai, Ya. G.
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.
5
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.
53
2007
Limit behaviour of large Frobenius numbers. Zbl 1151.11046
Bourgain, J.; Sinai, Ya. G.
14
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.
13
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
Mathematical hydrodynamics. Zbl 1186.76634
Sinai, Ya. G.
3
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.
2
2004
Statistical \((3x+1)\) problem. Zbl 1044.11006
Sinai, Ya. G.
5
2003
Russian mathematicians in the 20th century. Zbl 1079.01023
2
2003
Uniform distribution in the \((3x+1)\)-problem. Zbl 1050.60008
Sinai, Ya. G.
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.
10
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.
8
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
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.
90
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.
133
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
Basic notions of ergodic theory and examples of dynamical systems. 2nd, expanded and rev. ed. Zbl 1417.37021
Kornfeld, I. P.; Sinai, Ya. G.
8
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.
8
2000
Nonsymmetric simple random walks along orbits of ergodic automorphisms. Zbl 0961.60070
Kaloshin, V. Yu; Sinai, Ya. G.
3
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. 2nd, expanded and rev. ed. 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.
33
1999
Simple random walks on tori. Zbl 0948.60030
Sinai, Ya. G.
8
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.
44
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
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
Distribution of the maximum of a fractional Brownian motion. Zbl 0927.60054
Sinaĭ, Ya. G.
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 0852.35097
E, Weinan; Rykov, Yu. G.; Sinai, Ya. G.
201
1996
Burgers system driven by a periodic stochastic flow. Zbl 0866.35148
Sinai, Ya. G.
13
1996
A remark concerning the thermodynamical limit of the Lyapunov spectrum. Zbl 0876.34058
Sinai, Ya. G.
10
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.
30
1995
Topics in ergodic theory. Transl. from the English. (Современные проблемы ергодическои теории.) Zbl 0834.58028
Sinai, Ya. G.
7
1995
The Lax-Oleinik variational principle for some one-dimensional systems of quasilinear equations. Zbl 0848.35073
Veinan, I.; Rykov, Yu. G.; Sinai, Ya. G.
7
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
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
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.
68
1994
Probabilistic approach to the analysis of statistics for convex polygonal lines. Zbl 0832.60099
Sinai, Ya. G.
18
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.
63
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
A random walk with a random potential. Zbl 0807.60069
Sinaĭ, Ya. G.
11
1993
Statistical mechanics of coupled map lattices. Zbl 0791.60099
Bunimovich, L. A.; Sinai, Ya. G.
10
1993
Statistics of shocks in solutions of inviscid Burgers equation. Zbl 0755.60105
Sinaĭ, Ya. G.
76
1992
Mixing for some classes of special flows over rotations of the circle. Zbl 0797.58045
Sinaĭ, Ya. G.; Khanin, K. M.
26
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.
3
1992
A limiting distribution connected with fractional parts of linear forms. Zbl 0762.60020
Mazel, A. E.; Sinai, Ya. G.
2
1992
Statistical properties of two-dimensional hyperbolic billiards. Zbl 0780.58029
Bunimovich, L. A.; Sinaĭ, Ya. G.; Chernov, N. I.
84
1991
Two results concerning asymptotic behavior of solutions of the Burgers equation with force. Zbl 0978.35500
Sinai, Ya. G.
49
1991
...and 109 more Documents
all top 5

Cited by 4,314 Authors

49 Sinaĭ, Yakov Grigor’evich
36 Bunimovich, Leonid Abramovich
35 Dolgopyat, Dmitry
33 Chernov, Nikolai Ivanovich
26 Szász, Domokos
25 Zhang, Hongkun
24 Khanin, Konstantin M.
19 Lemańczyk, Mariusz
17 Li, Dong
17 Melbourne, Ian
17 Pène, Françoise
17 Varandas, Paulo
17 Young, Lai-Sang
16 Dzhalilov, Akhtam Abdurakhmanovich
16 Gallavotti, Giovanni M.
16 Gaspard, Pierre
16 Jitomirskaya, Svetlana Yakovlevna
16 Rahmatullaev, Muzaffar
16 Yang, Hanchun
15 Demers, Mark F.
15 Marklof, Jens
14 Antoniou, Ioannis E.
14 Araújo, Vítor
14 Lebowitz, Joel Louis
14 Markarian, Roberto
14 Ruelle, David Pierre
14 You, Jiangong
14 Zhang, Yanyan
14 Zhang, Yu
13 Liverani, Carlangelo
13 Pesin, Yakov Borisovich
13 Viana, Marcelo
13 Yang, Jiagang
12 Blank, Michael
12 de la Llave, Rafael
12 Erdős, László
12 Pollicott, Mark
12 Simányi, Nándor J.
11 Alves, José Ferreira
11 Bakhtin, Yuri Yu.
11 Bálint, Péter
11 Chen, Zhimin
11 Climenhaga, Vaughn
11 Khakimov, Rustam M.
11 Leonel, Edson Denis
11 Nándori, Péter
11 Podvigin, Ivan Viktorovich
11 Ulcigrai, Corinna
10 Comets, Francis M.
10 Kanigowski, Adam
10 Kuksin, Sergeĭ B.
10 Kułaga-Przymus, Joanna
10 Mukhamedov, Farruh Maksutovich
10 Rozikov, Utkir A.
10 Shi, Zhan
10 Vershik, Anatoliĭ Moiseevich
10 Zhao, Huaizhong
9 Boldrighini, Carlo
9 Bowen, Rufus
9 Bufetov, Aleksandr Igorevich
9 Frisch, Uriel
9 Golse, François
9 Gurevich, Boris
9 Kupiainen, Antti
9 Ledrappier, François
9 Mattingly, Jonathan Christopher
9 Nersesyan, Vahagn
9 Noorani, Mohd Salmi Mohd
9 Rondoni, Lamberto
9 Savvidy, George K.
9 Shepelyansky, Dima L.
9 Tóth, Bálint
9 Vaienti, Sandro
9 Vulpiani, Angelo
9 Yau, Horng-Tzer
9 Zhou, Qi
8 Akhadkulov, Habibulla
8 Albeverio, Sergio A.
8 Andreoletti, Pierre
8 Avila, Artur
8 Bricmont, Jean
8 Debussche, Arnaud
8 Dettmann, Carl P.
8 Dinaburg, Efim I.
8 Fayad, Bassam R.
8 Frączek, Krzysztof Marek
8 Glatt-Holtz, Nathan E.
8 Goldsheid, Ilya Ya.
8 Hairer, Martin
8 Hu, Yueyun
8 Huang, Wen
8 Krámli, András
8 Lenci, Marco
8 Liang, Yingjie
8 Nedeljkov, Marko
8 Nicol, Matthew
8 Obaya, Rafael
8 Radko, Timour
8 Rodriguez-Hertz, Federico
8 Rodriguez Hertz, Jana
...and 4,214 more Authors
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Cited in 516 Serials

282 Journal of Statistical Physics
272 Communications in Mathematical Physics
173 Physica D
129 Ergodic Theory and Dynamical Systems
91 Chaos
83 Journal of Mathematical Physics
79 Israel Journal of Mathematics
76 Journal of Differential Equations
72 Stochastic Processes and their Applications
71 Probability Theory and Related Fields
71 Discrete and Continuous Dynamical Systems
63 The Annals of Probability
60 Chaos, Solitons and Fractals
58 Transactions of the American Mathematical Society
55 Nonlinearity
51 Journal of Mathematical Analysis and Applications
51 Advances in Mathematics
48 Physics Letters. A
43 Journal of Functional Analysis
42 Inventiones Mathematicae
39 Physica A
37 Proceedings of the American Mathematical Society
35 Mathematical Notes
32 Journal of Statistical Mechanics: Theory and Experiment
29 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
28 Theoretical and Mathematical Physics
27 Archive for Rational Mechanics and Analysis
26 Reports on Mathematical Physics
26 Functional Analysis and its Applications
26 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
24 Journal of Dynamics and Differential Equations
24 Electronic Journal of Probability
24 Communications in Nonlinear Science and Numerical Simulation
24 Journal of Physics A: Mathematical and Theoretical
24 Journal of Modern Dynamics
23 The Annals of Applied Probability
23 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
22 Journal d’Analyse Mathématique
21 Journal of Mathematical Sciences (New York)
21 Annales Henri Poincaré
20 Journal of Fluid Mechanics
20 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
19 Annals of Mathematics. Second Series
19 Regular and Chaotic Dynamics
18 Journal of Theoretical Probability
18 Stochastics and Dynamics
17 Monatshefte für Mathematik
17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
17 Bulletin of the American Mathematical Society. New Series
17 Journal of the European Mathematical Society (JEMS)
17 Dynamical Systems
16 Duke Mathematical Journal
16 Doklady Mathematics
15 Computers & Mathematics with Applications
15 Mathematische Zeitschrift
14 Journal of Computational Physics
14 Annales de l’Institut Fourier
14 Acta Mathematica Sinica. English Series
13 Journal of the American Mathematical Society
13 Geometric and Functional Analysis. GAFA
13 Proceedings of the Steklov Institute of Mathematics
12 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
12 Annales de l’Institut Henri Poincaré. Physique Théorique
12 Discrete and Continuous Dynamical Systems. Series B
12 SIAM Journal on Applied Dynamical Systems
11 Communications on Pure and Applied Mathematics
11 Physics Reports
11 Publications Mathématiques
11 Journal of Computational and Applied Mathematics
11 Journal of Soviet Mathematics
11 Annals of Physics
11 Mathematical Problems in Engineering
10 Letters in Mathematical Physics
10 Bulletin de la Société Mathématique de France
10 Statistics & Probability Letters
10 Communications in Partial Differential Equations
10 SIAM Journal on Mathematical Analysis
10 Indagationes Mathematicae. New Series
10 Physical Review Letters
10 Random Matrices: Theory and Applications
10 Stochastic and Partial Differential Equations. Analysis and Computations
9 International Journal of Theoretical Physics
9 Journal of Mathematical Biology
9 ZAMP. Zeitschrift für angewandte Mathematik und Physik
9 Theory of Probability and its Applications
9 Memoirs of the American Mathematical Society
9 Acta Applicandae Mathematicae
9 Journal of Nonlinear Science
9 Journal of Mathematical Fluid Mechanics
8 Applicable Analysis
8 Russian Mathematical Surveys
8 Ukrainian Mathematical Journal
8 Applied Mathematics and Computation
8 Journal of the London Mathematical Society. Second Series
8 Mathematische Annalen
8 Bernoulli
8 Mathematical Physics, Analysis and Geometry
8 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 Journal of Hyperbolic Differential Equations
7 International Journal of Modern Physics B
...and 416 more Serials
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Cited in 61 Fields

1,975 Dynamical systems and ergodic theory (37-XX)
1,108 Probability theory and stochastic processes (60-XX)
778 Statistical mechanics, structure of matter (82-XX)
729 Partial differential equations (35-XX)
453 Fluid mechanics (76-XX)
316 Measure and integration (28-XX)
231 Quantum theory (81-XX)
180 Ordinary differential equations (34-XX)
179 Operator theory (47-XX)
176 Number theory (11-XX)
153 Mechanics of particles and systems (70-XX)
117 Numerical analysis (65-XX)
114 Differential geometry (53-XX)
101 Statistics (62-XX)
92 Combinatorics (05-XX)
89 Global analysis, analysis on manifolds (58-XX)
87 Functional analysis (46-XX)
83 Linear and multilinear algebra; matrix theory (15-XX)
69 Information and communication theory, circuits (94-XX)
64 Biology and other natural sciences (92-XX)
59 General topology (54-XX)
53 Systems theory; control (93-XX)
52 Group theory and generalizations (20-XX)
51 Computer science (68-XX)
49 Manifolds and cell complexes (57-XX)
48 Topological groups, Lie groups (22-XX)
38 Real functions (26-XX)
37 Convex and discrete geometry (52-XX)
36 Difference and functional equations (39-XX)
33 Harmonic analysis on Euclidean spaces (42-XX)
29 Geophysics (86-XX)
28 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
27 Functions of a complex variable (30-XX)
27 Several complex variables and analytic spaces (32-XX)
22 Calculus of variations and optimal control; optimization (49-XX)
22 Relativity and gravitational theory (83-XX)
20 History and biography (01-XX)
20 Mechanics of deformable solids (74-XX)
18 General and overarching topics; collections (00-XX)
18 Operations research, mathematical programming (90-XX)
17 Abstract harmonic analysis (43-XX)
16 Special functions (33-XX)
16 Optics, electromagnetic theory (78-XX)
15 Astronomy and astrophysics (85-XX)
14 Integral equations (45-XX)
14 Classical thermodynamics, heat transfer (80-XX)
13 Algebraic geometry (14-XX)
13 Geometry (51-XX)
11 Mathematical logic and foundations (03-XX)
10 Potential theory (31-XX)
6 Order, lattices, ordered algebraic structures (06-XX)
6 Sequences, series, summability (40-XX)
5 Approximations and expansions (41-XX)
5 Integral transforms, operational calculus (44-XX)
4 Commutative algebra (13-XX)
3 Associative rings and algebras (16-XX)
3 Category theory; homological algebra (18-XX)
2 \(K\)-theory (19-XX)
2 Algebraic topology (55-XX)
1 Nonassociative rings and algebras (17-XX)
1 Mathematics education (97-XX)

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