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Sinai Yakov Grigor'evich

Publications in Math-Net.Ru

  1. Ergodic and statistical properties of $\mathscr{B}$-free numbers

    Teor. Veroyatnost. i Primenen., 61:4 (2016),  805–829
  2. Statistical properties of the Moebius function

    Avtomat. i Telemekh., 2013, no. 10,  6–14
  3. Nonstandard ergodic theorems for unbounded functions

    Probl. Peredachi Inf., 45:4 (2009),  121–124
  4. Asymptotic Behavior of Generalized Convolutions

    Regul. Chaotic Dyn., 14:2 (2009),  248–262
  5. Limit theorem for trigonometric sums. Theory of curlicues

    Uspekhi Mat. Nauk, 63:6(384) (2008),  31–38
  6. Limit behaviour of large Frobenius numbers

    Uspekhi Mat. Nauk, 62:4(376) (2007),  77–90
  7. Diagrammatic approach to the 3D Navier–Stokes system

    Uspekhi Mat. Nauk, 60:5(365) (2005),  47–70
  8. On solutions with infinite energy and enstrophy of the Navier–Stokes system

    Uspekhi Mat. Nauk, 59:6(360) (2004),  55–72
  9. Uniform distribution in the $(3x+1)$-problem

    Mosc. Math. J., 3:4 (2003),  1429–1440
  10. Existence and Uniqueness of Solutions of a Quasilinear Approximation for the Three-Dimensional Navier–Stokes System

    Probl. Peredachi Inf., 39:1 (2003),  53–57
  11. Dynamics of a massive piston in an ideal gas

    Uspekhi Mat. Nauk, 57:6(348) (2002),  3–86
  12. A quasilinear approximation for the three-dimensional Navier–Stokes system

    Mosc. Math. J., 1:3 (2001),  381–388
  13. Как математики изучают хаос

    Mat. Pros., Ser. 3, 5 (2001),  32–46
  14. Recent results on mathematical and statistical hydrodynamics

    Uspekhi Mat. Nauk, 55:4(334) (2000),  25–58
  15. Simple Random Walks along Orbits of Anosov Diffeomorphisms

    Trudy Mat. Inst. Steklova, 228 (2000),  236–245
  16. Navier–Stokes systems with periodic boundary conditions

    Regul. Chaotic Dyn., 4:2 (1999),  3–15
  17. Anomalous transport in quasi-periodic media

    Uspekhi Mat. Nauk, 54:1(325) (1999),  181–208
  18. Dynamics of a heavy particle surrounded by a finite number of light particles

    TMF, 121:1 (1999),  110–116
  19. A Refinement of Wigner's Semicircle Law in a Neighborhood of the Spectrum Edge for Random Symmetric Matrices

    Funktsional. Anal. i Prilozhen., 32:2 (1998),  56–79
  20. Distribution of the maximum of a fractional Brownian motion

    Uspekhi Mat. Nauk, 52:2(314) (1997),  119–138
  21. Hyperbolicity of minimizing trajectories for two-dimensional Hamiltonian systems with random forcing

    Trudy Mat. Inst. Steklova, 216 (1997),  176–180
  22. Self-avoiding walks in five or more dimensions: polymer expansion approach

    Uspekhi Mat. Nauk, 50:2(302) (1995),  175–206
  23. The Lax–Oleinik variational principle for some one-dimensional systems of quasilinear equations

    Uspekhi Mat. Nauk, 50:1(301) (1995),  193–194
  24. Probabilistic Approach to the Analysis of Statistics for Convex Polygonal Lines

    Funktsional. Anal. i Prilozhen., 28:2 (1994),  41–48
  25. Statistical properties of the spectra of Laplace–Beltrami operators on Liouville surfaces

    Uspekhi Mat. Nauk, 48:4(292) (1993),  3–130
  26. A random walk with random potential

    Teor. Veroyatnost. i Primenen., 38:2 (1993),  457–460
  27. Asymptotic behavior of a two-dimensional random walk with topological constraints

    Teor. Veroyatnost. i Primenen., 38:2 (1993),  331–344
  28. Mixing for some classes of special flows over rotations of the circle

    Funktsional. Anal. i Prilozhen., 26:3 (1992),  1–21
  29. Distribution of some functionals of the integral of a random walk

    TMF, 90:3 (1992),  323–353
  30. Statistical properties of two-dimensional hyperbolic billiards

    Uspekhi Mat. Nauk, 46:4(280) (1991),  43–92
  31. Finite-dimensional randomness

    Uspekhi Mat. Nauk, 46:3(279) (1991),  147–159
  32. Statistics of solutions of the integral equation $ax-by=\pm1$

    Funktsional. Anal. i Prilozhen., 24:3 (1990),  1–8
  33. Markov partitions for two-dimensional hyperbolic billiards

    Uspekhi Mat. Nauk, 45:3(273) (1990),  97–134
  34. Smoothness of conjugacies of diffeomorphisms of the circle with rotations

    Uspekhi Mat. Nauk, 44:1(265) (1989),  57–82
  35. On limit theorems for Weyl multiple trigonometric sums

    Trudy Mat. Inst. Steklov., 191 (1989),  118–129
  36. Some Works on Ergodic Theory and Mathematical Problems of Statistical Mechanics at the Department of Probability Theory of the Faculty of Mechanics and Mathematics at the MSU

    Teor. Veroyatnost. i Primenen., 34:1 (1989),  215–222
  37. Ergodic properties of certain systems of two-dimensional discs and three-dimensional balls

    Uspekhi Mat. Nauk, 42:3(255) (1987),  153–174
  38. Structure of the spectrum of the Schrödinger operator with almost-periodic potential in the vicinity of its left edge

    Funktsional. Anal. i Prilozhen., 19:1 (1985),  42–48
  39. Dynamical systems of statistical mechanics and kinetic equations. Chapter 10. Dynamical systems of statistical mechanics

    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 2 (1985),  235–284
  40. Ergodic theory of smooth dynamical systems. Chapter 6. Randomness of smooth dynamical systems. Elements of KAM theory

    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 2 (1985),  115–122
  41. General ergodic theory of transformation groups with invariant measure. Chapter 3. Entropy theory of dynamical systems

    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 2 (1985),  44–70
  42. General ergodic theory of transformation groups with invariant measure. Chapter 2. Spectral theory of dynamical systems

    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 2 (1985),  35–44
  43. General ergodic theory of transformation groups with invariant measure. Chapter 1. Preliminary ideas and basic methods of ergodic theory

    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 2 (1985),  7–35
  44. General ergodic theory of transformation groups with invariant measure: Preface. Contents

    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 2 (1985),  5–6
  45. Rotation numbers that have nothing to do with the KAM theory

    Funktsional. Anal. i Prilozhen., 18:4 (1984),  73–74
  46. Feigenbaum universality and the thermodynamic formalism

    Uspekhi Mat. Nauk, 39:3(237) (1984),  3–37
  47. Phase diagrams of one-dimensional lattice models with long-range antiferromagnetic interaction

    Uspekhi Mat. Nauk, 38:4(232) (1983),  205–225
  48. Universal properties for sequences of bifurcations of period three

    Uspekhi Mat. Nauk, 38:1(229) (1983),  159–160
  49. Ground states of antiferromagnetic hierarchical Dyson models

    TMF, 57:1 (1983),  97–104
  50. Limit behaviour of one-dimensional random walks in random environments

    Teor. Veroyatnost. i Primenen., 27:2 (1982),  247–258
  51. Ergodic properties of the Lorentz gas

    Funktsional. Anal. i Prilozhen., 13:3 (1979),  46–59
  52. Billiard trajectories in a polyhedral angle

    Uspekhi Mat. Nauk, 33:1(199) (1978),  229–230
  53. Some problems of non-commutative ergodic theory

    Uspekhi Mat. Nauk, 31:4(190) (1976),  151–167
  54. Phase diagrams of classical lattice systems continuation

    TMF, 26:1 (1976),  61–76
  55. Automodel probability distributions

    Teor. Veroyatnost. i Primenen., 21:1 (1976),  63–80
  56. The one-dimensional Schrödinger equation with a quasiperiodic potential

    Funktsional. Anal. i Prilozhen., 9:4 (1975),  8–21
  57. The theory of dynamical systems and general transformation groups with invariant measure

    Itogi Nauki i Tekhn. Ser. Mat. Anal., 13 (1975),  129–262
  58. Phase diagrams of classical lattice systems

    TMF, 25:3 (1975),  358–369
  59. Phase transitions of the first kind for small perturbations of the Ising model

    Funktsional. Anal. i Prilozhen., 8:1 (1974),  25–30
  60. Existence theorem for solutions of the Bogolyubov equations

    TMF, 19:3 (1974),  344–363
  61. On invariant measures of dynamical systems of one-dimensional statistical mechanics

    Uspekhi Mat. Nauk, 28:5(173) (1973),  45–82
  62. On a fundamental theorem in the theory of dispersing billiards

    Mat. Sb. (N.S.), 90(132):3 (1973),  415–431
  63. On invariant measures compatible with the smooth structure for transitive $Y$-systems

    Dokl. Akad. Nauk SSSR, 207:5 (1972),  1039–1041
  64. Description of differentiations in algebras of the type of locally observable spin system algebras

    Funktsional. Anal. i Prilozhen., 6:4 (1972),  99–100
  65. Ergodic properties of a gas of one-dimensional hard rods with an infinite number of degrees of freedom

    Funktsional. Anal. i Prilozhen., 6:1 (1972),  41–50
  66. Gibbs measures in ergodic theory

    Uspekhi Mat. Nauk, 27:4(166) (1972),  21–64
  67. Construction of dynamics in one-dimensional systems of statistical mechanics

    TMF, 11:2 (1972),  248–258
  68. Ergodic properties of an ideal gas with an infinite number of degrees of freedom

    Funktsional. Anal. i Prilozhen., 5:3 (1971),  19–21
  69. Dynamical systems with elastic reflections. Ergodic properties of dispersing billiards

    Uspekhi Mat. Nauk, 25:2(152) (1970),  141–192
  70. Spectra of stochastic operators arising in lattice models of a gas

    TMF, 2:2 (1970),  230–243
  71. Construction of Markov partitions

    Funktsional. Anal. i Prilozhen., 2:3 (1968),  70–80
  72. Markov partitions and $C$-diffeomorphisms

    Funktsional. Anal. i Prilozhen., 2:1 (1968),  64–89
  73. The phenomenon of “separation of phases” at low temperatures in certain lattice models of a gas. II

    Tr. Mosk. Mat. Obs., 19 (1968),  113–178
  74. Phase separation phenomena at low temperatures in some lattice like gas models

    Dokl. Akad. Nauk SSSR, 175:2 (1967),  323–326
  75. New results on the phase transitions of the 1st kind in lattice gas models

    Tr. Mosk. Mat. Obs., 17 (1967),  213–242
  76. Existence of a phase transition in lattice gas with attraction between particles

    Tr. Mosk. Mat. Obs., 17 (1967),  197–212
  77. A lemma from measure theory

    Mat. Zametki, 2:4 (1967),  373–378
  78. Some smooth ergodic systems

    Uspekhi Mat. Nauk, 22:5(137) (1967),  107–172
  79. The phenomenon of “phase separation” at low temperatures in some lattice models of a gas. I

    Mat. Sb. (N.S.), 73(115):3 (1967),  375–448
  80. Asymptotic behavior of closed geodesics on compact manifolds with negative curvature

    Izv. Akad. Nauk SSSR Ser. Mat., 30:6 (1966),  1275–1296
  81. Classical dynamic systems with countably-multiple Lebesgue spectrum. II

    Izv. Akad. Nauk SSSR Ser. Mat., 30:1 (1966),  15–68
  82. On a weak isomorphism of transformations with invariant measure

    Mat. Sb. (N.S.), 63(105):1 (1964),  23–42
  83. On the foundations of the ergodic hypothesis for a dynamical system of statistical mechanics

    Dokl. Akad. Nauk SSSR, 153:6 (1963),  1261–1264
  84. Spectral properties of ergodic dynamical systems

    Dokl. Akad. Nauk SSSR, 150:6 (1963),  1235–1237
  85. Some remarks on the spectral properties of ergodic dynamical systems

    Uspekhi Mat. Nauk, 18:5(113) (1963),  41–54
  86. On Higher Order Spectral Measures of Ergodic Stationary Processes

    Teor. Veroyatnost. i Primenen., 8:4 (1963),  463–470
  87. A weak isomorphism of transformations with invariant measure

    Dokl. Akad. Nauk SSSR, 147:4 (1962),  797–800
  88. Evaluation of the parameters of a complex stationary Gauss–Markov process

    Dokl. Akad. Nauk SSSR, 146:4 (1962),  747–750
  89. On small perturbations of the automorphisms of a torus

    Dokl. Akad. Nauk SSSR, 144:4 (1962),  695–698
  90. On Limit Theorems for Stationary Processes

    Teor. Veroyatnost. i Primenen., 7:2 (1962),  213–219
  91. The structure and properties of invariant measurable partitions

    Dokl. Akad. Nauk SSSR, 141:5 (1961),  1038–1041
  92. Geodesic flows on compact surfaces of negative curvature

    Dokl. Akad. Nauk SSSR, 136:3 (1961),  549–552
  93. Dynamical systems with countable Lebesgue spectrum. I

    Izv. Akad. Nauk SSSR Ser. Mat., 25:6 (1961),  899–924
  94. The central limit theorem for geodesic flows on manifolds of constant negative curvature

    Dokl. Akad. Nauk SSSR, 133:6 (1960),  1303–1306
  95. Geodesic flows on manifolds of negative constant curvature

    Dokl. Akad. Nauk SSSR, 131:4 (1960),  752–755
  96. Dynamic Systems and Stationary Markov Processes

    Teor. Veroyatnost. i Primenen., 5:3 (1960),  335–338
  97. On the Distribution of the First Positive Sum for a Sequence of Independent Random Variables

    Teor. Veroyatnost. i Primenen., 2:1 (1957),  126–135

  98. On the 80th birthday of Yulij Sergeevich Ilyashenko

    Uspekhi Mat. Nauk, 80:2(482) (2025),  171–183
  99. Anatolii Mikhailovich Stepin (obituary)

    Uspekhi Mat. Nauk, 77:2(464) (2022),  189–194
  100. Mikhail Izrailevich Rabinovich (on his 80th birthday)

    UFN, 191:4 (2021),  447–448
  101. Vladimir Evgen'evich Zakharov (on his 80th birthday)

    UFN, 189:10 (2019),  1127–1128
  102. Vladimir Antonovich Zorich (on his 80th birthday)

    Uspekhi Mat. Nauk, 73:5(443) (2018),  193–196
  103. Robert Adol'fovich Minlos (28 February 1931 – 9 January 2018)

    TMF, 195:1 (2018),  3–5
  104. To the memory of Èmmanuil Èl'evich Shnol'

    Uspekhi Mat. Nauk, 72:1(433) (2017),  197–208
  105. Dmitrii Viktorovich Anosov (obituary)

    Uspekhi Mat. Nauk, 70:2(422) (2015),  181–191
  106. Ludvig Dmitrievich Faddeev (on his 80th birthday)

    Uspekhi Mat. Nauk, 69:6(420) (2014),  183–191
  107. Anatolii Moiseevich Vershik (on his 80th birthday)

    Uspekhi Mat. Nauk, 69:1(415) (2014),  173–186
  108. Rostislav Ivanovich Grigorchuk

    Mosc. Math. J., 13:4 (2013),  733–734
  109. Rostislav Ivanovich Grigorchuk (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 68:5(413) (2013),  187–190
  110. Leonid Pavlovich Shil'nikov (obituary)

    Uspekhi Mat. Nauk, 67:3(405) (2012),  175–178
  111. Robert Adolphovich Minlos

    Mosc. Math. J., 11:2 (2011),  403–404
  112. Romen Vasil'evich Plykin (obituary)

    Uspekhi Mat. Nauk, 66:3(399) (2011),  199–202
  113. Blowups of complex-valued solutions for some hydrodynamic models

    Regul. Chaotic Dyn., 15:4-5 (2010),  521–531
  114. Anatolii Gordeevich Kostyuchenko (obituary)

    Uspekhi Mat. Nauk, 65:4(394) (2010),  179–190
  115. Vladimir Evgen'evich Zakharov (on his 70th birthday)

    UFN, 179:8 (2009),  917–918
  116. Aleksandr Yakovlevich Povzner (obituary)

    Uspekhi Mat. Nauk, 63:4(382) (2008),  175–176
  117. Leonid Andreevich Pastur (to his 70th brithday)

    Uspekhi Mat. Nauk, 63:1(379) (2008),  190–191
  118. On a separating solution of a recurrent equation

    Regul. Chaotic Dyn., 12:5 (2007),  490–501
  119. Valentin Yakovlevich Golodets (on his 70th birthday)

    Uspekhi Mat. Nauk, 62:6(378) (2007),  191–192
  120. Viktor Iosifovich Yudovich (obituary)

    Uspekhi Mat. Nauk, 62:2(374) (2007),  165–168
  121. To the 75th birthday of A. A. Borovkov

    Teor. Veroyatnost. i Primenen., 51:2 (2006),  257–259
  122. Mark Iosifovich Freidlin

    Uspekhi Mat. Nauk, 59:3(357) (2004),  185–188
  123. Olga Aleksandrovna Ladyzhenskaya (obituary)

    Uspekhi Mat. Nauk, 59:3(357) (2004),  151–152
  124. On the 70th Birthday of A. N. Shiryaev

    Teor. Veroyatnost. i Primenen., 49:4 (2004),  775–778
  125. Naum Natanovich Meiman (obituary)

    Uspekhi Mat. Nauk, 57:2(344) (2002),  179–184
  126. Robert A. Minlos

    Mosc. Math. J., 1:3 (2001),  305–306
  127. Robert Adol'fovich Minlos (on his 70th birthday)

    Uspekhi Mat. Nauk, 56:4(340) (2001),  173–176
  128. Lev Dmitrievich Meshalkin (obituary)

    Uspekhi Mat. Nauk, 56:3(339) (2001),  146–150
  129. Anatolii Mikhailovich Stepin (on his 60th birthday)

    Uspekhi Mat. Nauk, 56:1(337) (2001),  201–204
  130. Emmanuil El'evich Shnol' (on his 70th birthday)

    Uspekhi Mat. Nauk, 54:3(327) (1999),  199–204
  131. Vladimir Evgen'evich Zakharov (on his sixtieth birthday)

    UFN, 169:10 (1999),  1161–1162
  132. Leonid Andreevich Pastur (on his 60th birthday)

    Uspekhi Mat. Nauk, 53:2(320) (1998),  181–182
  133. Vladimir Igorevich Arnol'd (on his 60th birthday)

    Uspekhi Mat. Nauk, 52:5(317) (1997),  235–255
  134. Dmitrii Viktorovich Anosov (on his 60th birthday)

    Uspekhi Mat. Nauk, 52:2(314) (1997),  193–200
  135. Review of Scientific Achievements of M. S. Pinsker

    Probl. Peredachi Inf., 32:1 (1996),  5–19
  136. Roland L'vovich Dobrushin (20 July 1919 – 12 November 1995)

    Teor. Veroyatnost. i Primenen., 41:1 (1996),  164–169
  137. Anatolii Moiseevich Vershik (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 49:3(297) (1994),  195–204
  138. Fund “Mathematics”

    Uspekhi Mat. Nauk, 48:6(294) (1993),  182–183
  139. Aleksandr Petrovich Norden (obituary)

    Uspekhi Mat. Nauk, 48:4(292) (1993),  169–170
  140. Nikolai Nikolaevich Chentsov (obituary)

    Uspekhi Mat. Nauk, 48:2(290) (1993),  165–168
  141. Memorial: Nikolai Nikolaevitch Chentsov

    Teor. Veroyatnost. i Primenen., 38:3 (1993),  613–623
  142. Vladimir Aleksandrovich Marchenko (on his seventieth birthday)

    Uspekhi Mat. Nauk, 47:4(286) (1992),  219–221
  143. Nikolai Nikolaevich Bogolyubov (obituary)

    Uspekhi Mat. Nauk, 47:3(285) (1992),  5–7
  144. Robert Adol'fovich Minlos (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 47:1(283) (1992),  225–226
  145. Roland L'vovich Dobrushin (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 44:6(270) (1989),  161–162
  146. Fiftieth Annyversary of the Foundation by A. N. Kolmogorov of the Department of Probability Theory at the Faculty of Mechanics and Mathematics at the MSU

    Teor. Veroyatnost. i Primenen., 34:1 (1989),  190–191
  147. Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics (September, 30 – December, 9, 1987)

    Uspekhi Mat. Nauk, 43:3(261) (1988),  239–245
  148. Vladimir Abramovich Rokhlin (obituary)

    Uspekhi Mat. Nauk, 41:3(249) (1986),  159–163
  149. Feliks Aleksandrovich Berezin (obituary)

    Uspekhi Mat. Nauk, 36:4(220) (1981),  185–190
  150. Vladimir Mikhailovich Alekseev (obituary)

    Uspekhi Mat. Nauk, 36:4(220) (1981),  177–182
  151. Sessions of the Petrovskii Seminar on differential equations and problems of mathematical physics

    Uspekhi Mat. Nauk, 35:2(212) (1980),  251–256
  152. In memory of Sergei Vasil'evich Fomin

    Uspekhi Mat. Nauk, 31:4(190) (1976),  199–212
  153. Sergei Vasil'evich Fomin (obituary)

    Uspekhi Mat. Nauk, 30:5(185) (1975),  2
  154. R. Abraham, J. Robbin, Transversal mappings and flows (review)

    Uspekhi Mat. Nauk, 23:5(143) (1968),  213–215
  155. Letters to the Editor of Uspekhi Matematicheskikh Nauk

    Uspekhi Mat. Nauk, 20:4(124) (1965),  232
  156. Поправки к статье “О малых возмущениях автоморфизмов тора” (ДАН, т. 144, № 4, 1962 г.)

    Dokl. Akad. Nauk SSSR, 150:5 (1963),  958
  157. Dynamical systems at the Stockholm Mathematical Congress

    Uspekhi Mat. Nauk, 18:2(110) (1963),  189–196
  158. Seminar on Metric Theory of Dynamical Systems in Moscow State University under the guidance of V. A. Rokhlin

    Uspekhi Mat. Nauk, 14:6(90) (1959),  223–225

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