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Kolmogorov Andrei Nikolaevich

Publications in Math-Net.Ru

  1. Modern Debates on the Nature of Mathematics (Comments by V. A. Uspenskii)

    Probl. Peredachi Inf., 42:4 (2006),  129–141
  2. Almost horizontal turbulence

    Uspekhi Mat. Nauk, 59:2(356) (2004),  3–8
  3. Mathematical models of turbulent motion of an incompressible viscous fluid

    Uspekhi Mat. Nauk, 59:1(355) (2004),  5–10
  4. On some inequalities connected to the strong law of large numbers

    Teor. Veroyatnost. i Primenen., 48:2 (2003),  249–253
  5. The theory of probability

    Teor. Veroyatnost. i Primenen., 48:2 (2003),  211–248
  6. Problems of probability theory

    Teor. Veroyatnost. i Primenen., 38:2 (1993),  211–212
  7. Probabilistic-statistical methods of detecting spontaneously occurring effects

    Trudy Mat. Inst. Steklov., 182 (1988),  4–23
  8. Algorithms and Randomness

    Teor. Veroyatnost. i Primenen., 32:3 (1987),  425–455
  9. A new metric invariant of transitive dynamical systems and automorphisms of Lebesgue spaces

    Trudy Mat. Inst. Steklov., 169 (1985),  94–98
  10. Combinatorial foundations of information theory and the calculus of probabilities

    Uspekhi Mat. Nauk, 38:4(232) (1983),  27–36
  11. Linear sampling estimations of sums

    Teor. Veroyatnost. i Primenen., 24:2 (1979),  241–251
  12. On the Logical Foundations of Information Theory and Probability Theory

    Probl. Peredachi Inf., 5:3 (1969),  3–7
  13. Local structure of turbulence in an incompressible viscous fluid at very high Reynolds numbers

    UFN, 93:3 (1967),  476–481
  14. P. S. Aleksandrov and the theory of $\delta s$-operations

    Uspekhi Mat. Nauk, 21:4(130) (1966),  275–278
  15. Three approaches to the definition of the concept “quantity of information”

    Probl. Peredachi Inf., 1:1 (1965),  3–11
  16. Approximation of distributions of sums of independent terms by infinitely divisible distributions

    Tr. Mosk. Mat. Obs., 12 (1963),  437–451
  17. Evaluation of the parameters of a complex stationary Gauss–Markov process

    Dokl. Akad. Nauk SSSR, 146:4 (1962),  747–750
  18. A probability problem of optimal control

    Dokl. Akad. Nauk SSSR, 145:5 (1962),  993–995
  19. On Strong Mixing Conditions for Stationary Gaussian Processes

    Teor. Veroyatnost. i Primenen., 5:2 (1960),  222–227
  20. $\varepsilon$-entropy and $\varepsilon$-capacity of sets in function spaces

    Uspekhi Mat. Nauk, 14:2(86) (1959),  3–86
  21. On linear dimensionality of topological vector spaces

    Dokl. Akad. Nauk SSSR, 120:2 (1958),  239–241
  22. A new metric invariant of transient dynamical systems and automorphisms in Lebesgue spaces

    Dokl. Akad. Nauk SSSR, 119:5 (1958),  861–864
  23. On the definition of an algorithm

    Uspekhi Mat. Nauk, 13:4(82) (1958),  3–28
  24. On the representation of continuous functions of many variables by superposition of continuous functions of one variable and addition

    Dokl. Akad. Nauk SSSR, 114:5 (1957),  953–956
  25. К обоснованию теории вещественных чисел

    Mat. Pros., Ser. 2, 2 (1957),  169–171
  26. Two uniform limit theorems for sums of independent random variables

    Teor. Veroyatnost. i Primenen., 1:4 (1956),  426–436
  27. On Skorokhod Convergence

    Teor. Veroyatnost. i Primenen., 1:2 (1956),  239–247
  28. Generalization of Poisson's formula to the case of a sample from a finite set

    Uspekhi Mat. Nauk, 6:3(43) (1951),  133–134
  29. On the differentiability of the transition probabilities in stationary Markov processes with a denumberable number of states

    Uch. Zap. Mosk. Gos. Univ., 148 (1951),  53–59
  30. Unbiased estimates

    Izv. Akad. Nauk SSSR Ser. Mat., 14:4 (1950),  303–326
  31. A local limit theorem for classical Markov chains

    Izv. Akad. Nauk SSSR Ser. Mat., 13:4 (1949),  281–300
  32. On sums of a random number of random terms

    Uspekhi Mat. Nauk, 4:4(32) (1949),  168–172
  33. A remark on the polynomials of P. L. Chebyshev deviating the least from a given function

    Uspekhi Mat. Nauk, 3:1(23) (1948),  216–221
  34. A formula of Gauss in the theory of the method of least squares

    Izv. Akad. Nauk SSSR Ser. Mat., 11:6 (1947),  561–566
  35. Substantiation of the theory of real numbers

    Uspekhi Mat. Nauk, 1:1(11) (1946),  217–219
  36. On the proof of the method of least squares

    Uspekhi Mat. Nauk, 1:1(11) (1946),  57–70
  37. Искусственное рассеивание в случае поражения одним попаданием и рассеивания в одном измерении

    Travaux Inst. Math. Stekloff, 12 (1945),  26–45
  38. Число попаданий при нескольких выстрелах и общие принципы оценки эффективности системы стрельбы

    Travaux Inst. Math. Stekloff, 12 (1945),  7–25
  39. Sur l'éstimation statistique des paramètres be la loi de Gauss

    Izv. Akad. Nauk SSSR Ser. Mat., 6:1-2 (1942),  3–32
  40. Interpolation und Extrapolation von stationären zufälligen Folgen

    Izv. Akad. Nauk SSSR Ser. Mat., 5:1 (1941),  3–14
  41. A simplified proof of the Birkhoff–Khinchin ergodic theorem

    Uspekhi Mat. Nauk, 1938, no. 5,  52–56
  42. On the analytic methods of probability theory

    Uspekhi Mat. Nauk, 1938, no. 5,  5–41
  43. Zur Statistik der Kristallisationsvorgänge in Metallen

    Izv. Akad. Nauk SSSR Ser. Mat., 1:3 (1937),  355–359
  44. Ein vereinfachter Beweis des Birkhoff-Khintchineschen Ergodensatzes

    Rec. Math. [Mat. Sbornik] N.S., 2(44):2 (1937),  367–368
  45. Zur Plessnerschen Bedingung für das Gesetz der grossen Zahlen

    Rec. Math. [Mat. Sbornik] N.S., 1(43):6 (1936),  847–849
  46. Homologiering des Komplexes und des lokal-bikompakten Raumes

    Rec. Math. [Mat. Sbornik] N.S., 1(43):5 (1936),  701–706
  47. Anfangsgründe der Theorie der Markoffschen Ketten mit unendlich vielen möglichen Zuständen

    Rec. Math. [Mat. Sbornik] N.S., 1(43):4 (1936),  607–610
  48. Über die Dualitat im Aufbau der kombinatorischen Topologie

    Rec. Math. [Mat. Sbornik] N.S., 1(43):1 (1936),  97–102
  49. Quelques remarques sur l'approximation des fonctions continues

    Mat. Sb., 41:1 (1934),  99–103
  50. Über die Grenzwertsätze der Wahrscheinlichkeitsrechnung

    Bulletin de l'Académie des Sciences de l'URSS. Classe des sciences mathématiques et na, 1933, no. 3,  363–372
  51. Eine Verallgemeinerung des Laplace–Liарounoffschen Satzes

    Bulletin de l'Académie des Sciences de l'URSS. Classe des sciences mathématiques et na, 1931, no. 7,  959–962
  52. La méthode de la médiane dans la théorie des erreurs

    Mat. Sb., 38:3-4 (1931),  47–50
  53. Sur le problème d'attente

    Mat. Sb., 38:1-2 (1931),  101–106
  54. Operations sur des ensembles

    Mat. Sb., 35:3-4 (1928),  415–422
  55. Über Konvergenz von Reihen, deren Glieder durch den Zufall bestimmt werden

    Mat. Sb., 32:4 (1925),  668–677
  56. Sur le principe de tertium non datur

    Mat. Sb., 32:4 (1925),  646–667

  57. Конечные геометрии

    Kvant, 2023, no. 5,  3–14
  58. Review of the Works by I. M. Gelfand (in Connection of His Nomination for the Election as a Full Member of the USSR Academy of Sciences)

    Funktsional. Anal. i Prilozhen., 37:4 (2003),  8–12
  59. Review of the Works of I. M. Gelfand and M. A. Naimark on Unitary Representations of Lie Groups

    Funktsional. Anal. i Prilozhen., 37:4 (2003),  8
  60. Review of the Works by I. M. Gelfand on Unitary Representations of Continuous Groups

    Funktsional. Anal. i Prilozhen., 37:4 (2003),  5–7
  61. Review of the Works of I. M. Gelfand Nominated to the Stalin Prize

    Funktsional. Anal. i Prilozhen., 37:4 (2003),  3–5
  62. Russian poetry rhythm analysis and probability theory

    Teor. Veroyatnost. i Primenen., 44:2 (1999),  419–431
  63. Adol'f Pavlovich Yushkevich (on his eightieth birthday)

    Uspekhi Mat. Nauk, 42:4(256) (1987),  211–212
  64. Kirill Aleksandrovich Sitnikov (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 41:6(252) (1986),  209–210
  65. Memories of P. S. Aleksandrov

    Uspekhi Mat. Nauk, 41:6(252) (1986),  187–203
  66. Vladimir Abramovich Rokhlin (obituary)

    Uspekhi Mat. Nauk, 41:3(249) (1986),  159–163
  67. Ol'ga Arsen'evna Oleinik (on her sixtieth birthday)

    Uspekhi Mat. Nauk, 40:5(245) (1985),  279–293
  68. Sergei Mikhailovich Nikol'skii (on his eightieth birthday)

    Uspekhi Mat. Nauk, 40:5(245) (1985),  269–278
  69. Gurii Ivanovich Marchuk (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 40:5(245) (1985),  3–17
  70. Ol'ga Arsen'evna Oleinik

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1985, no. 4,  95–104
  71. Izrail' Moiseevich Gel'fand (on his seventieth birthday)

    Uspekhi Mat. Nauk, 38:6(234) (1983),  137–152
  72. Boris Vladimirovich Gnedenko (on his seventieth birthday)

    Uspekhi Mat. Nauk, 37:6(228) (1982),  243–248
  73. Dmitrii Evgen'evich Men'shov (on his ninetieth birthday)

    Uspekhi Mat. Nauk, 37:5(227) (1982),  209–219
  74. Sagdy Khasanovich Sirazhdinov (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 36:6(222) (1981),  237–242
  75. Izabella Grigor'evna Bashmakova (on her sixtieth birthday)

    Uspekhi Mat. Nauk, 36:5(221) (1981),  211–214
  76. In memory of Anatolii Illarionovich Shirshov (obituary)

    Uspekhi Mat. Nauk, 36:5(221) (1981),  153–157
  77. Naum Il'ich Akhiezer (obituary)

    Uspekhi Mat. Nauk, 36:4(220) (1981),  183–184
  78. Vladimir Mikhailovich Alekseev (obituary)

    Uspekhi Mat. Nauk, 36:4(220) (1981),  177–182
  79. Aleksandr Filippovich Timan (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 36:2(218) (1981),  221–225
  80. In memory of Mikhail Alekseevich Lavrent'ev

    Uspekhi Mat. Nauk, 36:2(218) (1981),  3–10
  81. Lazar' Aronovich Lyusternik (on his eightieth birthday)

    Uspekhi Mat. Nauk, 35:6(216) (1980),  3–10
  82. Aleksei Ivanovich Markushevich (obituary)

    Uspekhi Mat. Nauk, 35:4(214) (1980),  131–133
  83. Konstantin Ivanovich Babenko (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 35:2(212) (1980),  231–239
  84. Mark Grigor'evich Krein (on his seventieth birthday)

    Uspekhi Mat. Nauk, 33:3(201) (1978),  197–203
  85. In memory of Boris Pavlovich Demidovich (obituary)

    Uspekhi Mat. Nauk, 33:2(200) (1978),  169–174
  86. Adol'f Paplovich Yushkevich (on his seventieth birthday)

    Uspekhi Mat. Nauk, 32:3(195) (1977),  197–202
  87. Pavel Sergeevich Aleksandrov (on his 80th birthday)

    Uspekhi Mat. Nauk, 31:5(191) (1976),  3–15
  88. In memory of Sergei Vasil'evich Fomin

    Uspekhi Mat. Nauk, 31:4(190) (1976),  199–212
  89. Tashmukhamed Alievich Sarymsakov (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 31:2(188) (1976),  241–246
  90. Georgii Evgen'evich Shilov (obituary)

    Uspekhi Mat. Nauk, 31:1(187) (1976),  217–228
  91. Sergei Vasil'evich Fomin (obituary)

    Uspekhi Mat. Nauk, 30:5(185) (1975),  2
  92. Sergei Mikhailovich Nikol'skii (on his seventieth birthday)

    Uspekhi Mat. Nauk, 30:4(184) (1975),  271–280
  93. In memoriam Ivan Georgievič Petrovskiĭ (January 18, 1901 – January 15, 1973)

    Tr. Mosk. Mat. Obs., 31 (1974),  5–16
  94. Ivan Georgievich Petrovskii

    Uspekhi Mat. Nauk, 29:2(176) (1974),  3–5
  95. Замечания к статье Ю. С. Коршунова “Волны установившегося вида конечной амплитуды на поверхности бесконечно глубокой жидкости” (ДАН, т. 205, № 2, 1972 г.)

    Dokl. Akad. Nauk SSSR, 208:3 (1973),  10
  96. Georgii Fedorovich Rybkin (obituary)

    Uspekhi Mat. Nauk, 27:5(167) (1972),  223–225
  97. Leonid Vital'evich Kantorovich (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 27:3(165) (1972),  221–227
  98. Boris Vladimirovich Gnedenko (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 27:2(164) (1972),  197–202
  99. Dmitrii Evgen'evich Men'shov (on his eightieth birthday)

    Uspekhi Mat. Nauk, 27:2(164) (1972),  185–195
  100. Georgii Pavlovich Tolstov (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 27:1(163) (1972),  255–264
  101. Naum Il'ich Akhiezer (on his seventieth birthday)

    Uspekhi Mat. Nauk, 26:6(162) (1971),  257–261
  102. I. M. Yaglom, Galileo's principle of relativity and noneuclidean geometry (review)

    Uspekhi Mat. Nauk, 26:3(159) (1971),  247–249
  103. Ivan Georgievich Petrovskii (on his seventieth birthday)

    Uspekhi Mat. Nauk, 26:2(158) (1971),  3–24
  104. Gleb Aleksandrovich Seliverstov (1905–1944)

    Uspekhi Mat. Nauk, 25:3(153) (1970),  244–245
  105. Victor Nikolaevich Zasukhin (1915–1941)

    Uspekhi Mat. Nauk, 25:3(153) (1970),  243
  106. Sergei Natanovich Bernstein (obituary)

    Uspekhi Mat. Nauk, 24:3(147) (1969),  211–218
  107. Sergei Natanovich Bernshtein (obituary)

    Teor. Veroyatnost. i Primenen., 14:1 (1969),  113–121
  108. Igor' Vladimirovich Girsanov (obituary)

    Teor. Veroyatnost. i Primenen., 12:3 (1967),  532–535
  109. Pavel Sergeevich Aleksandrov (on his seventieth birthday and the fiftieth year of his scientific activity)

    Uspekhi Mat. Nauk, 21:4(130) (1966),  4–7
  110. Sergei Mikhailovich Nikol'skii (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 20:5(125) (1965),  275–287
  111. Lev Abramovich Tumarkin (on his 60th birthday)

    Uspekhi Mat. Nauk, 19:4(118) (1964),  219–221
  112. Izrail' Moiseevich Gelfand (on his fiftieth birthday)

    Uspekhi Mat. Nauk, 19:3(117) (1964),  187–205
  113. Boris Vladimirovich Gnedenko (on his fiftieth birthday)

    Uspekhi Mat. Nauk, 17:4(106) (1962),  191–200
  114. B. V. Gnedenko's Work in Probability Theory (On the occasion of his fiftieth birthday)

    Teor. Veroyatnost. i Primenen., 7:3 (1962),  323–329
  115. Рецензия на книгу А. М. Длин “Математическая статистика в технике”

    Teor. Veroyatnost. i Primenen., 7:2 (1962),  243–248
  116. Letter to the editors

    Izv. Vyssh. Uchebn. Zaved. Mat., 1961, no. 1,  177
  117. Аleksandr Yakovlevich Khinchin (obituary)

    Uspekhi Mat. Nauk, 15:4(94) (1960),  97–110
  118. On the Works of N. V. Smirnov In Mathematical Statistics

    Teor. Veroyatnost. i Primenen., 5:4 (1960),  436–440
  119. The Work of S. N. Bernshtein on the Theory of Probability

    Teor. Veroyatnost. i Primenen., 5:2 (1960),  215–221
  120. Mark Grigor'evich Krein (on his fiftieth birthday)

    Uspekhi Mat. Nauk, 13:3(81) (1958),  213–224
  121. Sergei Mikhailovich Nikol'skii (on his 50th birthday)

    Uspekhi Mat. Nauk, 11:2(68) (1956),  239–244
  122. On the work of S. M. Nikol'skii

    Uspekhi Mat. Nauk, 7:5(51) (1952),  234–237
  123. Paths of development of algebra

    Uspekhi Mat. Nauk, 7:3(49) (1952),  155–178
  124. The work of N. V. Smirnov on the investigation of properties of variational series and on nonparametric problems of mathematical statistics

    Uspekhi Mat. Nauk, 6:4(44) (1951),  190–192
  125. The work of I. M. Gel'fand in algebraic questions of functional analysis

    Uspekhi Mat. Nauk, 6:4(44) (1951),  184–186
  126. G. P. Boev, The theory of probability (review)

    Uspekhi Mat. Nauk, 6:3(43) (1951),  175–181
  127. Ivan Georgievich Petrovskii (for his fiftieth birthday)

    Uspekhi Mat. Nauk, 6:3(43) (1951),  160–164
  128. Awarding of 1948 Chebyshev Prize

    Izv. Akad. Nauk SSSR Ser. Mat., 14:1 (1950),  101–104
  129. Lazar' Aronovich Lyusternik (for his fiftieth birthday)

    Uspekhi Mat. Nauk, 5:1(35) (1950),  234–235
  130. Scientific session of the department of the probability theory of Mathematical Institute of the USSR Academy of Science and chair of the probability theory at Moscow State University

    Uspekhi Mat. Nauk, 4:4(32) (1949),  189–197
  131. From the Editorial Board

    Uspekhi Mat. Nauk, 1944, no. 10,  62–64
  132. Valerii Ivanovich Glivenko (1897–1940) (obituary)

    Uspekhi Mat. Nauk, 1941, no. 8,  379–383
  133. Le soixantenaire de S. Bernstein

    Izv. Akad. Nauk SSSR Ser. Mat., 4:3 (1940),  249–260
  134. V. I. Romanovskii, Mathematical statistics (review)

    Uspekhi Mat. Nauk, 1940, no. 7,  327–329
  135. From the Editor

    Uspekhi Mat. Nauk, 1938, no. 5,  3–4
  136. A remark on the foundations of geometry

    Uspekhi Mat. Nauk, 1938, no. 4,  347–348
  137. On Information Section of the first issue of Uspekhi Matematicheskikh Nauk

    Uspekhi Mat. Nauk, 1938, no. 4,  326–327

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