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Sinaĭ, Yakov Grigor’evich

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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
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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 Stepin, Anatolii Mikhailovich
5 Boldrighini, Carlo
5 Cellarosi, Francesco
5 E, Weinan
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 Gurevich, B. M.
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 Grines, Vyacheslav Zigmundovich
3 Ibragimov, Il’dar Abdullovich
3 Kashin, Boris Sergeevich
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 Zhizhina, Elena Anatol’evna
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 Grigorchuk, Rostislav Ivanovich
2 Gromov, Mikhael Leonidovich
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 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, Sergey 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.
2 Rokhlin, Vladimir Abramovich
2 Rykov, Yurii G.
2 Samoĭlenko, Anatoliĭ Mykhaĭlovych
2 Sataev, Evgueni A.
...and 206 more Co-Authors
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Serials

50 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

199 Publications have been cited 3,939 times in 3,041 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.
358
1982
Gibbs measures in ergodic theory. (Gibbssche Maße in der Ergodentheorie.) Zbl 0246.28008
Sinai, Ya. G.
191
1972
Dynamical systems with elastic reflections. [Ergodic properties of dispersing billiards]. Zbl 0263.58011
Sinaĭ, Ya. G.
180
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.
163
1996
On the concept of entropy for a dynamic system. Zbl 0086.10102
Sinai, Ya. G.
113
1959
The limiting behavior of a one-dimensional random walk in a random medium. Zbl 0505.60086
Sinaj, Ya. G.
112
1982
Statistical properties of Lorentz gas with periodic configuration of scatterers. Zbl 0459.60099
Bunimovich, L. A.; Sinai, Ya. G.
111
1981
Some smooth ergodic systems. With an appendix by G. A. Margulis. Zbl 0177.42002
Anosov, D. V.; Sinaĭ, Ya. G.
110
1967
Invariant measures for Burgers equation with stochastic forcing. Zbl 0972.35196
E, Weinan; Khanin, K.; Mazel, A.; Sinai, Ya.
106
2000
Dynamical systems with elastic reflections. Ergodic properties of dispersing billiards. Zbl 0252.58005
Sinai, Ya. G.
100
1970
Investigation of the stability of a stationary solution of a system of equations for the plane movement of an incompressible viscous liquid. Zbl 0108.39501
Meshalkin, L. D.; Sinai, Ya. G.
90
1961
Spacetime chaos in coupled map lattices. Zbl 0679.58028
Bunimovich, L. A.; Sinaj, Ya. G.
84
1988
Anderson localization for one-dimensional difference Schrödinger operator with quasiperiodic potential. Zbl 0682.34023
Sinaj, Ya. G.
77
1987
Gibbsian dynamics and ergodicity for the stochastically forced Navier-Stokes equation. Zbl 0994.60065
E, Weinan; Mattingly, J. C.; Sinai, Ya.
77
2001
Statistical properties of two-dimensional hyperbolic billiards. Zbl 0780.58029
Bunimovich, L. A.; Sinaĭ, Ya. G.; Chernov, N. I.
73
1991
Markov partitions and \(C\)-diffeomorphisms. Zbl 0182.55003
Sinai, Ya. G.
72
1968
Gibbs measures for partially hyperbolic attractors. Zbl 0519.58035
Pesin, Ya. B.; Sinai, Ya. G.
69
1982
Statistics of shocks in solutions of inviscid Burgers equation. Zbl 0755.60105
Sinaĭ, Ya. G.
68
1992
Markov partitions for two-dimensional hyperbolic billiards. Zbl 0721.58036
Bunimovich, L. A.; Sinaj, Ya. G.; Chernov, N. I.
64
1990
Gibbs measures in ergodic theory. Zbl 0255.28016
Sinai, Ya. G.
64
1973
The one-dimensional Schrödinger equation with a quasiperiodic potential. Zbl 0333.34014
Dinaburg, E. I.; Sinai, Ya. G.
62
1976
Topics in ergodic theory. Zbl 0805.58005
Sinai, Ya. G.
56
1994
Central limit theorem for traces of large random symmetric matrices with independent matrix elements. Zbl 0912.15027
Sinai, Ya.; Soshnikov, A.
56
1998
Introduction to ergodic theory. Translated by V. Scheffer. Zbl 0375.28011
Sinai, Ya. G.
54
1976
Markov partitions for dispersed billiards. Zbl 0453.60098
Bunimovich, L. A.; Sinai, Ya. G.
54
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.
53
1993
On the Boltzmann equation for the Lorentz gas. Zbl 0583.76092
Boldrighini, C.; Bunimovich, L. A.; Sinai, Ya. G.
42
1983
Smoothness of conjugacies of diffeomorphisms of the circle with rotations. Zbl 0701.58053
Sinaj, Ya. G.; Khanin, K. M.
42
1989
Two results concerning asymptotic behavior of solutions of the Burgers equation with force. Zbl 0978.35500
Sinai, Ya. G.
41
1991
Ergodic properties of certain systems of two-dimensional discs and three- dimensional balls. Zbl 0644.58007
Sinaĭ, Ya. G.; Chernov, N. I.
37
1987
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.
36
1998
Theory of probability and random processes. 2nd ed. Zbl 1181.60004
Koralov, Leonid B.; Sinai, Yakov G.
36
2007
Feigenbaum universality and the thermodynamic formalism. Zbl 0561.58033
Vul, E. B.; Sinaj, Ya. G.; Khanin, K. M.
35
1984
Self-similar probability distributions. Zbl 0358.60031
Sinai, Ya. G.
29
1976
Blow ups of complex solutions of the 3D Navier-Stokes system and renormalization group method. Zbl 1151.35073
Li, Dong; Sinai, Ya. G.
29
2008
An elementary proof of the existence and uniqueness theorem for the Navier-Stokes equations. Zbl 0961.35112
Mattingly, J. C.; Sinai, Ya. G.
29
1999
A new proof of M. Herman’s theorem. Zbl 0628.58021
Khanin, K. M.; Sinaj, Ya. G.
27
1987
Statistical properties of two-dimensional hyperbolic billiards. Zbl 0748.58014
Bunimovich, L. A.; Sinaĭ, Ya. G.; Chernov, N. I.
24
1991
Construction and properties of invariant measurable partitions. Zbl 0161.34301
Rokhlin, V. A.; Sinai, Ya. G.
24
1961
Classical dynamical systems with countably-multiple Lebesgue spectrum. II. Zbl 0213.34002
Sinai, Ya. G.
24
1966
Symmetric random walks in random environments. Zbl 0512.60058
Anshelevich, V. V.; Khanin, K. M.; Sinai, Ya. G.
24
1982
A remark concerning random walks with random potentials. Zbl 0835.60062
Sinai, Yakov G.
23
1995
Construction of Markov partitions. Zbl 0194.22602
Sinai, Ya. G.
22
1968
Ergodic properties of square-free numbers. Zbl 1325.37010
Cellarosi, Francesco; Sinai, Yakov G.
21
2013
The central limit theorem for geodesic flows on manifolds of constant negative curvature. Zbl 0129.31103
Sinai, Ya. G.
21
1960
Mixing for some classes of special flows over rotations of the circle. Zbl 0797.58045
Sinaĭ, Ya. G.; Khanin, K. M.
20
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
Anderson localization for the 1-D discrete Schrödinger operator with two-frequency potential. Zbl 0743.60058
Chulaevskii, V. A.; Sinai, Ya. G.
18
1989
On a fundamental theorem in the theory of dispersing billiards. Zbl 0281.58009
Bunimovich, L. A.; Sinai, Ya. G.
17
1974
Space-time chaos in chains of weakly interacting hyperbolic mappings. Zbl 0850.70250
Pesin, Ya. B.; Sinaĭ, Ya. G.
15
1991
Probabilistic approach to the analysis of statistics for convex polygonal lines. Zbl 0832.60099
Sinai, Ya. G.
15
1994
One-dimensional classical massive particle in the ideal gas. Zbl 0589.60084
Sinai, Ya. G.; Soloveichik, M. R.
14
1986
Dynamical systems with countably-multiple Lebesgue spectrum. I. Zbl 0109.11204
Sinai, Ya. G.
12
1961
Billiard trajectories in a polyhedral angle. Zbl 0415.28021
Sinai, Ya. G.
11
1978
Dynamical systems with countably-multiple Lebesgue spectrum. I. Zbl 0275.60058
Sinai, Ya. G.
11
1964
Statistical properties of the spectra of Laplace-Beltrami operators on Liouville surfaces. Zbl 0838.58041
Kosygin, D. V.; Minasov, A. A.; Sinai, Ya. G.
11
1993
Burgers system driven by a periodic stochastic flow. Zbl 0866.35148
Sinai, Ya. G.
10
1996
An answer to a question by J. Milnor. Zbl 0594.28023
Sinaj, Ya. G.
10
1985
Ergodic theory. (Ehrgodicheskaya teoriya). Zbl 0508.28008
Kornfel’d, I. P.; Sinaj, Ya. G.; Fomin, S. V.
10
1980
Ising models on the Lobachevsky plane. Zbl 0692.60088
Series, C. M.; Sinai, Ya. G.
9
1990
Statistical mechanics of coupled map lattices. Zbl 0791.60099
Bunimovich, L. A.; Sinai, Ya. G.
9
1993
Limit behaviour of large Frobenius numbers. Zbl 1151.11046
Bourgain, J.; Sinai, Ya. G.
9
2007
The asymptotic behavior of the number of closed geodesics on a compact manifold of negative curvature. Zbl 0146.18103
Sinai, Ya. G.
9
1966
Weak mixing in interval exchange transformations of periodic type. Zbl 1105.37002
Sinai, YA. G.; Ulcigrai, C.
9
2005
Limit behavior of the one-dimensional random walks in random environments. Zbl 0497.60065
Sinaj, Ya. G.
9
1982
A remark concerning the thermodynamical limit of the Lyapunov spectrum. Zbl 0876.34058
Sinai, Ya. G.
9
1996
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.
9
1982
Kolmogorov’s work on ergodic theory. Zbl 0748.01004
Sinai, Ya. G.
8
1989
Some mathematical problems in the theory of quantum chaos. Zbl 0713.58057
Sinaj, Ya. G.
8
1990
A random walk with a random potential. Zbl 0807.60069
Sinaĭ, Ya. G.
8
1993
Power series for solutions of the 3D Navier-Stokes system on \(\mathbb R^3\). Zbl 1089.76011
Sinai, Yakov
8
2005
Renewal-type limit theorem for the Gauss map and continued fractions. Zbl 1151.37010
Sinai, Yakov G.; Ulcigrai, Corinna
8
2008
Complex singularities of solutions of some 1D hydrodynamic models. Zbl 1143.76391
Li, Dong; Sinai, Ya. G.
8
2008
Weak isomorphism of transformations with an invariant measure. Zbl 0205.13501
Sinai, Ya. G.
8
1962
Distribution of some functionals of the integral of a random walk. Zbl 0810.60063
Sinaĭ, Ya. G.
8
1992
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
Loop condensation effects in the behaviour of random walks. Zbl 0814.60063
Khanin, K. M.; Mazel, A. E.; Shlosman, S. B.; Sinai, Ya. G.
8
1994
Scaling dynamics of a massive piston in an ideal gas. Zbl 1127.82308
Lebowitz, J. L.; Piasecki, J.; Sinai, Ya.
8
2000
Recent results on mathematical and statistical hydrodynamics. Zbl 0983.76010
E, Weinan; Sinai, Yakov
8
2000
Poisson distribution in a geometric problem. Zbl 0744.60016
Sinai, Ya. G.
7
1991
Mathematical problems in the theory of quantum chaos. Zbl 0771.46042
Sinai, Ya. G.
7
1991
Some problems of non-commutative ergodic theory. Zbl 0365.46053
Sinai, Ya. G.; Anshelevich, V. V.
7
1976
Adiabatic piston as a dynamical system. Zbl 1142.82351
Neishtadt, A. I.; Sinai, Y. G.
7
2004
Non-standard limit theorems in number theory. Zbl 1273.60024
Cellarosi, Francesco; Sinai, Yakov G.
7
2013
Complex singularities of the Burgers system and renormalization group method. Zbl 1171.35106
Li, Dong; Sinai, Ya. G.
7
2008
Evaluation of the parameters of a complex stationary Gauss-Markov process. Zbl 0136.40702
Arato, M.; Kolmogorov, A. N.; Sinai, Ya. G.
7
1962
Phase diagrams of one-dimensional lattice models with long-range antiferromagnetic interaction. Zbl 0989.82517
Burkov, S. E.; Sinaĭ, Ya. G.
7
1983
Dynamics of a massive piston immersed in an ideal gas. Zbl 1046.37056
Lebowitz, J. L.; Sinaĭ, Ya. G.; Chernov, N. I.
7
2002
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
Limiting-type theorem for conditional distributions of products of independent unimodular \(2\times2\) matrices. Zbl 0760.60010
Nechaev, S. K.; Sinai, Ya. G.
6
1991
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.
6
2002
Singularities of complex-valued solutions of the two-dimensional Burgers system. Zbl 1309.35113
Li, Dong; Sinai, Yakov G.
6
2010
Hyperbolicity conditions for the Lorenz model. Zbl 1194.37043
Sinai, Jakov G.; Vul, Elena B.
6
1981
Chaos theory yesterday, today and tomorrow. Zbl 1187.37051
Sinai, Y. G.
6
2010
Simple random walks on tori. Zbl 0948.60030
Sinai, Ya. G.
6
1999
Billiard trajectories in a polyhedral angle. Zbl 0426.28019
Sinai, Ya. G.
6
1978
Dynamics of a heavy particle surrounded by a finite number of light particles. Zbl 1005.82020
Sinai, Ya. G.
6
1999
Limit theorem for trigonometric sums. Theory of curlicues. Zbl 1172.37005
Sinai, Ya G.
5
2008
Limiting distribution of Frobenius numbers for \(n=3\). Zbl 1229.11050
Shchur, V. L.; Sinai, Ya. G.; Ustinov, A. V.
5
2009
Dynamical systems II. Ergodic theory with applications to dynamical systems and statistical mechanics. Transl. from the Russian. Zbl 0778.00014
5
1989
Ergodic and statistical properties of \(\mathcal B\)-free numbers. Zbl 1378.11084
Avdeeva, M.; Cellarosi, F.; Sinai, Ya. G.
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.
21
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
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
Singularities of complex-valued solutions of the two-dimensional Burgers system. Zbl 1309.35113
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
Separating solution of a quadratic recurrent equation. Zbl 1186.39009
Sinai, Y. G.; Vinogradov, I.
1
2009
A new boundary problem for the two-dimensional Navier-Stokes system. Zbl 1168.76012
Dinaburg, Efim; Li, Dong; Sinai, Yakov G.
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.
29
2008
Renewal-type limit theorem for the Gauss map and continued fractions. Zbl 1151.37010
Sinai, Yakov G.; Ulcigrai, Corinna
8
2008
Complex singularities of solutions of some 1D hydrodynamic models. Zbl 1143.76391
Li, Dong; Sinai, Ya. G.
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.
5
2008
A limit theorem for Birkhoff sums of non-integrable functions over rotations. Zbl 1154.37307
Sinai, Yakov G.; Ulcigrai, Corinna
5
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.
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 1146.35074
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.
36
2007
Limit behaviour of large Frobenius numbers. Zbl 1151.11046
Bourgain, J.; Sinai, Ya. G.
9
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
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 1105.37002
Sinai, YA. G.; Ulcigrai, C.
9
2005
Power series for solutions of the 3D Navier-Stokes system on \(\mathbb R^3\). Zbl 1089.76011
Sinai, Yakov
8
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.
3
2005
Diagrammatic approach to the 3D Navier-Stokes system. Zbl 1165.35431
Sinai, Ya G.
3
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.
2
2004
Statistical \((3x+1)\) problem. Zbl 1044.11006
Sinai, Ya. G.
3
2003
Uniform distribution in the \((3x+1)\)-problem. Zbl 1050.60008
Sinai, Ya. G.
2
2003
Russian mathematicians in the 20th century. Zbl 1079.01023
1
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.
7
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.
6
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
3
2002
Gibbsian dynamics and ergodicity for the stochastically forced Navier-Stokes equation. Zbl 0994.60065
E, Weinan; Mattingly, J. C.; Sinai, Ya.
77
2001
A quasilinear approximation for the three-dimensional Navier-Stokes system. Zbl 1016.76016
Dinaburg, E. I.; Sinai, Ya. G.
5
2001
Invariant measures for Burgers equation with stochastic forcing. Zbl 0972.35196
E, Weinan; Khanin, K.; Mazel, A.; Sinai, Ya.
106
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
Scaling dynamics of a massive piston in an ideal gas. Zbl 1127.82308
Lebowitz, J. L.; Piasecki, J.; Sinai, Ya.
8
2000
Recent results on mathematical and statistical hydrodynamics. Zbl 0983.76010
E, Weinan; Sinai, Yakov
8
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.
4
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
An elementary proof of the existence and uniqueness theorem for the Navier-Stokes equations. Zbl 0961.35112
Mattingly, J. C.; Sinai, Ya. G.
29
1999
Simple random walks on tori. Zbl 0948.60030
Sinai, Ya. G.
6
1999
Dynamics of a heavy particle surrounded by a finite number of light particles. Zbl 1005.82020
Sinai, Ya. G.
6
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
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.
1
1999
Central limit theorem for traces of large random symmetric matrices with independent matrix elements. Zbl 0912.15027
Sinai, Ya.; Soshnikov, A.
56
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.
36
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.
1
1998
Parabolic perturbations of Hamilton-Jacobi equations. Zbl 0918.70010
Sinai, Ya.
1
1998
Classical nonintegrability, quantum chaos. With a contribution by Viviane Baladi. Zbl 0867.58050
Knauf, Andreas; Sinai, Yakov G.
4
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
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.
163
1996
Burgers system driven by a periodic stochastic flow. Zbl 0866.35148
Sinai, Ya. G.
10
1996
A remark concerning the thermodynamical limit of the Lyapunov spectrum. Zbl 0876.34058
Sinai, Ya. G.
9
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.
1
1996
A remark concerning random walks with random potentials. Zbl 0835.60062
Sinai, Yakov G.
23
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.
5
1995
Topics in ergodic theory. Transl. from the English. (Современные проблемы ергодическои теории.) Zbl 0834.58028
Sinai, Ya. G.
4
1995
Geodesic flows on manifolds of negative curvature. Zbl 0860.58032
Sinai, Ya. G.
2
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.
2
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.
2
1995
Topics in ergodic theory. Zbl 0805.58005
Sinai, Ya. G.
56
1994
Probabilistic approach to the analysis of statistics for convex polygonal lines. Zbl 0832.60099
Sinai, Ya. G.
15
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.
8
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.
53
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.
11
1993
Statistical mechanics of coupled map lattices. Zbl 0791.60099
Bunimovich, L. A.; Sinai, Ya. G.
9
1993
A random walk with a random potential. Zbl 0807.60069
Sinaĭ, Ya. G.
8
1993
Statistics of shocks in solutions of inviscid Burgers equation. Zbl 0755.60105
Sinaĭ, Ya. G.
68
1992
Mixing for some classes of special flows over rotations of the circle. Zbl 0797.58045
Sinaĭ, Ya. G.; Khanin, K. M.
20
1992
Distribution of some functionals of the integral of a random walk. Zbl 0810.60063
Sinaĭ, Ya. G.
8
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.
73
1991
Two results concerning asymptotic behavior of solutions of the Burgers equation with force. Zbl 0978.35500
Sinai, Ya. G.
41
1991
Statistical properties of two-dimensional hyperbolic billiards. Zbl 0748.58014
Bunimovich, L. A.; Sinaĭ, Ya. G.; Chernov, N. I.
24
1991
Space-time chaos in chains of weakly interacting hyperbolic mappings. Zbl 0850.70250
Pesin, Ya. B.; Sinaĭ, Ya. G.
15
1991
Poisson distribution in a geometric problem. Zbl 0744.60016
Sinai, Ya. G.
7
1991
...and 99 more Documents
all top 5

Cited by 3,218 Authors

48 Sinaĭ, Yakov Grigor’evich
33 Bunimovich, Leonid Abramovich
32 Chernov, Nikolai Ivanovich
31 Dolgopyat, Dmitry
23 Szász, Domokos
23 Zhang, Hongkun
20 Khanin, Konstantin M.
17 Li, Dong
17 Young, Lai-Sang
15 Gallavotti, Giovanni M.
15 Varandas, Paulo
14 Jitomirskaya, Svetlana Yakovlevna
14 Markarian, Roberto
14 Marklof, Jens
14 Melbourne, Ian
14 Pène, Françoise
14 Yang, Hanchun
13 Dzhalilov, Akhtam Abdurakhmanovich
13 Lemańczyk, Mariusz
13 Pesin, Yakov Borisovich
13 Ruelle, David Pierre
11 Bálint, Péter
11 Erdős, László
11 Simányi, Nándor J.
11 Viana, Marcelo
11 Zhang, Yanyan
11 Zhang, Yu
10 Araújo, Vítor
10 Chen, Zhimin
10 de la Llave, Rafael
10 Demers, Mark F.
10 Lebowitz, Joel Louis
10 Noorani, Mohd Salmi Mohd
10 Pollicott, Mark
9 Bakhtin, Yuri Yu.
9 Bowen, Rufus
9 Climenhaga, Vaughn
9 Frisch, Uriel
9 Kuksin, Sergeĭ B.
9 Liverani, Carlangelo
9 Shi, Zhan
9 Ulcigrai, Corinna
9 Yau, Horng-Tzer
9 Zhao, Huaizhong
8 Akhadkulov, Habibulla
8 Alves, José Ferreira
8 Boldrighini, Carlo
8 Gaspard, Pierre
8 Glatt-Holtz, Nathan E.
8 Goldsheid, Ilya Ya.
8 Kułaga-Przymus, Joanna
8 Kupiainen, Antti
8 Nedeljkov, Marko
8 Nicol, Matthew
8 Turaev, Dmitry V.
8 Vaienti, Sandro
8 Yang, Jiagang
8 Zelditch, Steve
7 Andreoletti, Pierre
7 Avila Cordeiro de Melo, Artur
7 Baake, Michael
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 Fayad, Bassam R.
7 Hairer, Martin
7 Hu, Yueyun
7 Kanigowski, Adam
7 Keller, Gerhard
7 Krámli, András
7 Ledrappier, François
7 Lenci, Marco
7 Leonenko, Nikolai N.
7 Mattingly, Jonathan Christopher
7 Nándori, Péter
7 Narnhofer, Heide
7 Nersesyan, Vahagn
7 Pulvirenti, Mario
7 Radko, Timour
7 Ratner, Marina
7 Rodriguez Hertz, Jana
7 Rondoni, Lamberto
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
7 Wojtkowski, Maciej P.
7 Yamazaki, Kazuo
7 You, Jiangong
7 Zhang, Pengfei
6 Akhatkulov, Sokhobiddin
6 Albeverio, Sergio A.
6 Antoniou, Ioannis E.
...and 3,118 more Authors
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Cited in 432 Serials

250 Communications in Mathematical Physics
248 Journal of Statistical Physics
110 Physica D
105 Ergodic Theory and Dynamical Systems
85 Chaos
62 Journal of Mathematical Physics
60 Journal of Differential Equations
59 The Annals of Probability
56 Stochastic Processes and their Applications
54 Israel Journal of Mathematics
54 Probability Theory and Related Fields
53 Discrete and Continuous Dynamical Systems
48 Transactions of the American Mathematical Society
38 Journal of Mathematical Analysis and Applications
37 Inventiones Mathematicae
36 Advances in Mathematics
36 Journal of Functional Analysis
34 Chaos, Solitons and Fractals
33 Nonlinearity
31 Proceedings of the American Mathematical Society
27 Mathematical Notes
26 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
24 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
23 Functional Analysis and its Applications
21 Archive for Rational Mechanics and Analysis
20 Physics Letters. A
19 Theoretical and Mathematical Physics
18 Journal of Fluid Mechanics
18 Annals of Mathematics. Second Series
17 Bulletin of the American Mathematical Society. New Series
17 Regular and Chaotic Dynamics
16 Journal of Theoretical Probability
16 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
15 Physica A
15 Duke Mathematical Journal
15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
15 The Annals of Applied Probability
15 Journal of Dynamics and Differential Equations
15 Journal of Mathematical Sciences (New York)
14 Journal of the European Mathematical Society (JEMS)
14 Annales Henri Poincaré
14 Dynamical Systems
13 Mathematische Zeitschrift
13 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
13 Proceedings of the Steklov Institute of Mathematics
12 Annales de l’Institut Fourier
12 Journal of the American Mathematical Society
12 Annales de l’Institut Henri Poincaré. Physique Théorique
12 Doklady Mathematics
12 Communications in Nonlinear Science and Numerical Simulation
11 Journal of Computational Physics
11 Reports on Mathematical Physics
11 Journal of Soviet Mathematics
11 Mathematical Problems in Engineering
11 Acta Mathematica Sinica. English Series
11 Journal of Modern Dynamics
10 Journal d’Analyse Mathématique
10 Publications Mathématiques
10 Journal of Computational and Applied Mathematics
10 Monatshefte für Mathematik
10 Physical Review Letters
10 Stochastics and Dynamics
10 Journal of Statistical Mechanics: Theory and Experiment
9 Journal of Mathematical Biology
9 Physics Reports
9 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
9 Geometric and Functional Analysis. GAFA
9 Communications in Partial Differential Equations
9 Discrete and Continuous Dynamical Systems. Series B
9 Stochastic and Partial Differential Equations. Analysis and Computations
8 Communications on Pure and Applied Mathematics
8 Acta Applicandae Mathematicae
8 SIAM Journal on Mathematical Analysis
7 International Journal of Modern Physics B
7 Computers & Mathematics with Applications
7 International Journal of Theoretical Physics
7 ZAMP. Zeitschrift für angewandte Mathematik und Physik
7 Applied Mathematics and Computation
7 Mathematische Annalen
7 Tohoku Mathematical Journal. Second Series
7 Statistics & Probability Letters
7 Indagationes Mathematicae. New Series
7 Physics of Fluids
7 Electronic Journal of Probability
7 Journal of Mathematical Fluid Mechanics
7 Frontiers of Mathematics in China
7 Advances in Mathematical Physics
6 Letters in Mathematical Physics
6 Quarterly of Applied Mathematics
6 Topology and its Applications
6 Bernoulli
6 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
6 Science China. Mathematics
5 Reviews in Mathematical Physics
5 Theory of Probability and its Applications
5 Acta Mathematica
5 Archiv der Mathematik
...and 332 more Serials
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Cited in 60 Fields

1,480 Dynamical systems and ergodic theory (37-XX)
797 Probability theory and stochastic processes (60-XX)
574 Partial differential equations (35-XX)
544 Statistical mechanics, structure of matter (82-XX)
363 Fluid mechanics (76-XX)
228 Measure and integration (28-XX)
150 Quantum theory (81-XX)
138 Ordinary differential equations (34-XX)
121 Operator theory (47-XX)
119 Number theory (11-XX)
113 Mechanics of particles and systems (70-XX)
91 Differential geometry (53-XX)
91 Numerical analysis (65-XX)
73 Global analysis, analysis on manifolds (58-XX)
68 Statistics (62-XX)
62 Linear and multilinear algebra; matrix theory (15-XX)
58 Functional analysis (46-XX)
47 General topology (54-XX)
46 Information and communication theory, circuits (94-XX)
44 Combinatorics (05-XX)
44 Biology and other natural sciences (92-XX)
35 Manifolds and cell complexes (57-XX)
35 Systems theory; control (93-XX)
33 Topological groups, Lie groups (22-XX)
32 Computer science (68-XX)
30 Difference and functional equations (39-XX)
27 Group theory and generalizations (20-XX)
25 Real functions (26-XX)
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23 Geophysics (86-XX)
21 Convex and discrete geometry (52-XX)
19 History and biography (01-XX)
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18 Harmonic analysis on Euclidean spaces (42-XX)
18 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
17 Relativity and gravitational theory (83-XX)
15 Calculus of variations and optimal control; optimization (49-XX)
14 Operations research, mathematical programming (90-XX)
13 General and overarching topics; collections (00-XX)
13 Abstract harmonic analysis (43-XX)
12 Special functions (33-XX)
11 Mechanics of deformable solids (74-XX)
11 Astronomy and astrophysics (85-XX)
10 Integral equations (45-XX)
8 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)
5 Approximations and expansions (41-XX)
5 Geometry (51-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 Mathematics education (97-XX)

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