Selected Works of A. N. Kolmogorov, A.N. Shiryayev

Автор: Vladimir E. Zakharov; Victor S. L`vov; Gregory Fal
Название: Kolmogorov Spectra of Turbulence I
ISBN: 3642500544 ISBN-13(EAN): 9783642500541
Издательство: Springer
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Описание: Since the human organism is itself an open system, we are naturally curious about the behavior of other open systems with fluxes of matter, energy or information. In addition to vortex hydrodynamic turbulence, it considers various cases of wave turbulence in plasmas, magnets, atmosphere, ocean and space.

Автор: Vladimir M. Tikhomirov
Название: Selected Works of A. N. Kolmogorov
ISBN: 9401053472 ISBN-13(EAN): 9789401053471
Издательство: Springer
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Описание: The Praesidium of the USSR Academy of Sciences has decided to publish three volumes of Selected Works of A.N. Kolmogorov, one of the most prominent mathematicians of the 20th century. The creative work of A.N. Kolmogorov is exceptionally versatile. In his studies on trigonometric and orthogonal series, theory of measure and inte- gral, mathematical logic, approximation theory, geometry, topology, functional analysis, classical mechanics, ergodic theory, superposition of functions, and in- formation theory, many conceptual and fundamental problems were solved and new questions were posed which gave rise to a great number of investigations. A.N. Kolmogorov is one of the founders of the Soviet school of probability theory, mathematical statistics, and the theory of turbulence. In these areas he obtained a number of basic results, with many applications to mechanics, geophysics, linguistics, biology and other branches of knowledge. This edition includes the most important papers by A.N. Kolmogorov on mathematics and natural science. It does not include philosophical and ped- agogical studies of A.N. Kolmogorov, his articles written for the "Bol'shaya Sov'etskaya Entsiklopediya," papers on prosody and various applications of mathematics and publications on general questions. The material of this edition was selected and grouped by A.N. Kolmogorov.

Автор: Angelo Vulpiani; Roberto Livi
Название: The Kolmogorov Legacy in Physics
ISBN: 3642057861 ISBN-13(EAN): 9783642057861
Издательство: Springer
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Автор: Ming Li; Paul M.B. Vit?nyi
Название: An Introduction to Kolmogorov Complexity and Its Applications
ISBN: 1489984453 ISBN-13(EAN): 9781489984456
Издательство: Springer
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Описание: Written by two experts in the field, this is the only comprehensive and unified treatment of the central ideas and applications of Kolmogorov complexity. The book presents a thorough treatment of the subject with a wide range of illustrative applications.

Автор: N.V. Krylov; G. Da Prato; M. R?ckner; J. Zabczyk
Название: Stochastic PDE`s and Kolmogorov Equations in Infinite Dimensions
ISBN: 3540665455 ISBN-13(EAN): 9783540665458
Издательство: Springer
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Описание: Kolmogorov equations are second order parabolic equations with a finite or an infinite number of variables, connected with stochastic differential equations in finite or infinite dimensional spaces. These equations can be studied both by probabilistic and by analytic methods.

Автор: Sergey Bagdasarov
Название: Chebyshev Splines and Kolmogorov Inequalities
ISBN: 3034897812 ISBN-13(EAN): 9783034897815
Издательство: Springer
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Автор: Osamu Watanabe
Название: Kolmogorov Complexity and Computational Complexity
ISBN: 3642777376 ISBN-13(EAN): 9783642777370
Издательство: Springer
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Описание: The mathematical theory of computation has given rise to two important ap- proaches to the informal notion of "complexity": Kolmogorov complexity, usu- ally a complexity measure for a single object such as a string, a sequence etc., measures the amount of information necessary to describe the object.