This volume is the second of three volumes devoted to the work of one of the most prominent twentieth-century mathematicians. Throughout his mathematical work, A.N. Kolmogorov (1903-1987) showed great creativity and versatility and his wide-ranging studies in many different areas led to the solution of conceptual and fundamental problems and the posing of new, important questions. His lasting contributions embrace probability theory and statistics, the theory of dynamical systems, mathematical logic, geometry and topology, the theory of functions and functional analysis, classical mechanics, the theory of turbulence, and information theory. This second volume contains papers on probability theory and mathematical statistics, and embraces topics such as limit theorems, axiomatics and logical foundations of probability theory, Markov chains and processes, stationary processes and branching processes. The material appearing in each volume was selected by A.N. Kolmogorov himself and is accompanied by short introductory notes and commentaries which reflect upon the influence of this work on the development of modern mathematics. All papers appear in English - some for the first time -- and in chronological order. This volume contains a significant legacy which will find many grateful beneficiaries amongst researchers and students of mathematics and mechanics, as well as historians of mathematics.
Selected Works of A.N. Kolmogorov
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Language Notes
Text: English (translation)
Original Language: Russian
Original Language: Russian
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Inside This Book
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Key Phrases - Statistically Improbable Phrases (SIPs):
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statistical reversibility, log fxx, stochastically determined process, sliding summation, joint correlation coefficient, branching random processes, uniform limit theorems, crystallization centres, finding unbiased estimators, inessential states, ergodic principle, independent summands, stationary random sequences, strong mixing condition, local theorems, local limit theorem, stationary sequence, normal stability, second differential equation, cyclic vectors, upper function, fundamental sequence, transition probability densities Key Phrases - Capitalized Phrases (CAPs): (learn more)
Theory Probab, Uspekhi Mat, New York, Markoffschen Ketten, Soviet Math, Acta Math, École Norm, Cambridge Univ, Princeton Univ, Uniqueness Theorem, Verallgemeinerung des Laplace-Liapounoffschen, Academic Press, Atti Accad, Bruno de Finetti, Mathematical Institute of Moscow State University, San Francisco New!
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statistical reversibility, log fxx, stochastically determined process, sliding summation, joint correlation coefficient, branching random processes, uniform limit theorems, crystallization centres, finding unbiased estimators, inessential states, ergodic principle, independent summands, stationary random sequences, strong mixing condition, local theorems, local limit theorem, stationary sequence, normal stability, second differential equation, cyclic vectors, upper function, fundamental sequence, transition probability densities Key Phrases - Capitalized Phrases (CAPs): (learn more)
Theory Probab, Uspekhi Mat, New York, Markoffschen Ketten, Soviet Math, Acta Math, École Norm, Cambridge Univ, Princeton Univ, Uniqueness Theorem, Verallgemeinerung des Laplace-Liapounoffschen, Academic Press, Atti Accad, Bruno de Finetti, Mathematical Institute of Moscow State University, San Francisco New!
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Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
Citations (learn more)
This book cites 4
books:
- Limit Theorems of Probability Theory (Encyclopaedia of Mathematical Sciences) by Yu.V. Prokhorov on 6 pages
- Probability Theory (Courant Lecture Notes) by S. R. S. Varadhan on page 527
- Random Processes. (Graduate Texts in Mathematics) by M. Rosenblatt on page 506
- Branching Processes (Dover Books on Mathematics) by K. B. Athreya on page 538
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