Kolmogorov: Life and Creative Activities

[1]  H. Jeffreys,et al.  Theory of probability , 1896 .

[2]  L. Bachelier,et al.  Théorie de la spéculation , 1900 .

[3]  M. Borel Les probabilités dénombrables et leurs applications arithmétiques , 1909 .

[4]  R. Mises Grundlagen der Wahrscheinlichkeitsrechnung , 1919 .

[5]  Nouveaux fondements du calcul des probabilités , 1923 .

[6]  M. Smoluchowski,et al.  Drei Vorträge über Diffusion, Brownsche Molekularbewegung und Koagulation von Kolloidteilchen , 1927 .

[7]  R. Mises,et al.  Wahrscheinlichkeit, Statistik und Wahrheit. , 1936 .

[8]  S. Chapman,et al.  On the Brownian Displacements and Thermal Diffusion of Grains Suspended in a Non-Uniform Fluid , 1928 .

[9]  H. Cramér On the composition of elementary errors , .

[10]  R. A. Fisher,et al.  The Genetical Theory of Natural Selection , 1931 .

[11]  Richard Von Mises,et al.  Wahrscheinlichkeitsrechnung und ihre Anwendung in der Statistik und theoretischen Physik , 1931 .

[12]  G. Birkhoff Proof of the Ergodic Theorem , 1931, Proceedings of the National Academy of Sciences.

[13]  K. Gödel Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I , 1931 .

[14]  J. Neumann Mathematische grundlagen der Quantenmechanik , 1935 .

[15]  J. Neumann Zur Operatorenmethode In Der Klassischen Mechanik , 1932 .

[16]  A. Khintchine Asymptotische Gesetze der Wahrscheinlichkeitsrechnung , 1933 .

[17]  J. Steffensen,et al.  Deux problèmes du Calcul des Probabilités , 1933 .

[18]  J. W. Alexander,et al.  On the Chains of a Complex and Their Duals. , 1935, Proceedings of the National Academy of Sciences of the United States of America.

[19]  J. W. Alexander On the Ring of a Compact Metric Space. , 1935, Proceedings of the National Academy of Sciences of the United States of America.

[20]  Emil L. Post Finite combinatory processes—formulation , 1936, Journal of Symbolic Logic.

[21]  J. W. Alexander On the Connectivity Ring of an Abstract Space , 1936 .

[22]  J. Marcinkiewicz,et al.  Remarque sur la loi du logarithme itéré , 1937 .

[23]  Willy Feller Zur Theorie der stochastischen Prozesse , 1937 .

[24]  A. Turing On Computable Numbers, with an Application to the Entscheidungsproblem. , 1937 .

[25]  R. Fisher THE WAVE OF ADVANCE OF ADVANTAGEOUS GENES , 1937 .

[26]  A. Church On the concept of a random sequence , 1940 .

[27]  Kiyosi Itô,et al.  On stochastic processes (I) , 1941 .

[28]  P. Hartman,et al.  On the Law of the Iterated Logarithm , 1941 .

[29]  W. Feller The General Form of the So-Called Law of the Iterated Logarithm , 1943 .

[30]  Kiyosi Itô On a stochastic integral equation , 1946 .

[31]  William Feller,et al.  The Law of the Iterated Logarithm for Identically Distributed Random Variables , 1946 .

[32]  P. Erdös,et al.  On the number of positive sums of independent random variables , 1947 .

[33]  P. Levy Processus stochastiques et mouvement brownien , 1948 .

[34]  J. Doob Heuristic Approach to the Kolmogorov-Smirnov Theorems , 1949 .

[35]  G. Maruyama THE HARMONIC ANALYSIS OF STATIONARY STOCHASTIC PROCESSES , 1949 .

[36]  Claude E. Shannon,et al.  Prediction and Entropy of Printed English , 1951 .

[37]  Kiyosi Itô Stochastic Differential Equations , 2018, The Control Systems Handbook.

[38]  M. Donsker Justification and Extension of Doob's Heuristic Approach to the Kolmogorov- Smirnov Theorems , 1952 .

[39]  W. Feller THE PARABOLIC DIFFERENTIAL EQUATIONS AND THE ASSOCIATED SEMI-GROUPS OF TRANSFORMATIONS , 1952 .

[40]  R. Fortet,et al.  Convergence de la répartition empirique vers la répartition théorique , 1953 .

[41]  J. Doob Stochastic processes , 1953 .

[42]  G. Maruyama Continuous Markov processes and stochastic equations , 1955 .

[43]  J. Kiefer,et al.  Asymptotic Minimax Character of the Sample Distribution Function and of the Classical Multinomial Estimator , 1956 .

[44]  Kinsaku Takano On the basic theorems of information theory , 1957 .

[45]  Martin D. Davis,et al.  Computability and Unsolvability , 1959, McGraw-Hill Series in Information Processing and Computers.

[46]  P. Mazur On the theory of brownian motion , 1959 .

[47]  V. Volkonskii,et al.  Some Limit Theorems for Random Functions. II , 1959 .

[48]  On the Approximation of Polynomial Distributions by Infinitely Divisible Laws , 1960 .

[49]  A. Shiryaev Some Problems in the Spectral Theory of Higher-Order Moments. I , 1960 .

[50]  B. A. Rogozin An Estimate for Concentration Functions , 1961 .

[51]  N. M. Nagorny,et al.  The Theory of Algorithms , 1988 .

[52]  D. E. Brown,et al.  Theory of Markov Processes. , 1962 .

[53]  A. M. Oboukhov Some specific features of atmospheric tubulence , 1962, Journal of Fluid Mechanics.

[54]  T. E. Harris,et al.  The Theory of Branching Processes. , 1963 .

[55]  B. Gnedenko THE WORK OF A. N. KOLMOGOROV IN THE THEORY OF PROBABILITY , 1963 .

[56]  C. Caramanis What is ergodic theory , 1963 .

[57]  Ya. G. Sinaj On Higher Order Spectral Measures of Ergodic Stationary Processes , 1963 .

[58]  Richard Von Mises,et al.  Mathematical Theory of Probability and Statistics , 1966 .

[59]  On Estimates for the Entropy of a Language According to Shannon , 1964 .

[60]  Norbert Wiener,et al.  Extrapolation, Interpolation, and Smoothing of Stationary Time Series , 1964 .

[61]  S. Fienberg,et al.  Inference and Disputed Authorship: The Federalist , 1966 .

[62]  Ray J. Solomonoff,et al.  A Formal Theory of Inductive Inference. Part II , 1964, Inf. Control..

[63]  A. Skorokhod,et al.  Studies in the theory of random processes , 1966 .

[64]  D. Loveland A New Interpretation of the von Mises' Concept of Random Sequence† , 1966 .

[65]  Per Martin-Löf,et al.  The Definition of Random Sequences , 1966, Inf. Control..

[66]  D. Kendall Branching Processes Since 1873 , 1966 .

[67]  D. Loveland The Kleene hierarchy classification of recursively random sequences , 1966 .

[68]  P. Billingsley,et al.  Ergodic theory and information , 1966 .

[69]  K. Parthasarathy,et al.  Probability measures on metric spaces , 1967 .

[70]  Edward Nelson Dynamical Theories of Brownian Motion , 1967 .

[71]  B. Harris Spectral Analysis Of Time Series , 1967 .

[72]  harald Cramer,et al.  Stationary And Related Stochastic Processes , 1967 .

[73]  P. Billingsley,et al.  Convergence of Probability Measures , 1970, The Mathematical Gazette.

[74]  Diffusion Processes and their Sample Paths. , 1968 .

[75]  S. Varadhan,et al.  Diffusion processes with continuous coefficients, I , 1969 .

[76]  P. Levy Quelques aspects de la pensée d'un mathématicien , 1970 .

[77]  L. Levin,et al.  THE COMPLEXITY OF FINITE OBJECTS AND THE DEVELOPMENT OF THE CONCEPTS OF INFORMATION AND RANDOMNESS BY MEANS OF THE THEORY OF ALGORITHMS , 1970 .

[78]  Jürgen Moser,et al.  Lectures on Celestial Mechanics , 1971 .

[79]  P. Shields The theory of Bernoulli shifts , 1973 .

[80]  B V Gnedenko ANDREI NIKOLAEVICH KOLMOGOROV (on the occasion of his seventieth birthday) , 1973 .

[81]  W. Stout Almost sure convergence , 1974 .

[82]  D. Ornstein Ergodic theory, randomness, and dynamical systems , 1974 .

[83]  H. McKean Application of brownian motion to the equation of kolmogorov-petrovskii-piskunov , 1975 .

[84]  P. Major,et al.  An approximation of partial sums of independent RV'-s, and the sample DF. I , 1975 .

[85]  On the Speed of Convergence in a Boundary Problem , 1975 .

[86]  David G. Kendall,et al.  The Genealogy of Genealogy Branching Processes before (and after) 1873 , 1975 .

[87]  CONVERGENCE OF MEASURES AND RANDOM PROCESSES , 1976 .

[88]  Gregory J. Chaitin,et al.  Algorithmic Information Theory , 1987, IBM J. Res. Dev..

[89]  P. Walters Introduction to Ergodic Theory , 1977 .

[90]  Alʹbert Nikolaevich Shiri︠a︡ev,et al.  Statistics of random processes , 1977 .

[91]  Alʹbert Nikolaevich Shiri︠a︡ev,et al.  Optimal stopping rules , 1977 .

[92]  Maury Bramson,et al.  Maximal displacement of branching brownian motion , 1978 .

[93]  L. Rogers,et al.  Diffusions, Markov processes, and martingales , 1979 .

[94]  D. W. Stroock,et al.  Multidimensional Diffusion Processes , 1979 .

[95]  W. Ewens Mathematical Population Genetics , 1980 .

[96]  P. Hall,et al.  Martingale Limit Theory and Its Application , 1980 .

[97]  Inequalities for the Concentration Function , 1980 .

[98]  P. Révész,et al.  Strong approximations in probability and statistics , 1981 .

[99]  N. Martin,et al.  Mathematical Theory of Entropy , 1981 .

[100]  William Parry,et al.  Topics in Ergodic Theory , 1981 .

[101]  H. K. Moffatt Some developments in the theory of turbulence , 1981, Journal of Fluid Mechanics.

[102]  D. Aldous The Central Limit Theorem for Real and Banach Valued Random Variables , 1981 .

[103]  N. Etemadi An elementary proof of the strong law of large numbers , 1981 .

[104]  D. Newton TOPICS IN ERGODIC THEORY (Cambridge Tracts in Mathematics, 75) , 1982 .

[105]  G. Grimmett,et al.  Probability and random processes , 2002 .

[106]  Gordon Welchman,et al.  The Hut Six Story: Breaking the Enigma Codes , 1982 .

[107]  B. Gnedenko,et al.  Andrei Nikolaevich Kolmogorov (on his eightieth birthday) , 1983 .

[108]  A. Obukhov Kolmogorov flow and laboratory simulation of it , 1983 .

[109]  J. Smoller Shock Waves and Reaction-Diffusion Equations , 1983 .

[110]  A. Borovkov Boundary-value problems, the invariance principle, and large deviations , 1983 .

[111]  S. M. Nikol'skii Aleksandrov and Kolmogorov in Dnepropetrovsk , 1983 .

[112]  P. L. Ul'yanov Kolmogorov and divergent Fourier series , 1983 .

[113]  Frederick Mosteller,et al.  Applied Bayesian And Classical Inference , 1984 .

[114]  Gordon Welchman The Hut Six Story , 1984 .

[115]  S. Varadhan Large Deviations and Applications , 1984 .

[116]  Mark Kac,et al.  Enigmas of Chance , 1985 .

[117]  W. Vervaat Sample Path Properties of Self-Similar Processes with Stationary Increments , 1985 .

[118]  B. Øksendal Stochastic Differential Equations , 1985 .

[119]  N. Bingham Variants on the Law of the Iterated Logarithm , 1986 .

[120]  M. Taqqu,et al.  Using Renewal Processes to Generate Long-Range Dependence and High Variability , 1986 .

[121]  Thomas M. Cover,et al.  Probability and Information. , 1986 .

[122]  M. Kac,et al.  Enigmas of Chance: An Autobiography. , 1986 .

[123]  J. -. Gall,et al.  Sur la saucisse de Wiener et les points multiples du mouvement brownien , 1986 .

[124]  A. Yaglom Correlation Theory of Stationary and Related Random Functions I: Basic Results , 1987 .

[125]  A. Shiryaev,et al.  Limit Theorems for Stochastic Processes , 1987 .

[126]  I. A. Ibragimov,et al.  Uniform limit theorems for sums of independent random variables , 1988 .

[127]  V. Vovk The Law of the Iterated Logarithm for Random Kolmogorov, or Chaotic, Sequences , 1988 .

[128]  Hans-Otto Georgii,et al.  Gibbs Measures and Phase Transitions , 1988 .

[129]  Alʹbert Nikolaevich Shiri︠a︡ev,et al.  Theory of martingales , 1989 .