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Titlebook: Random Perturbations of Dynamical Systems; M. I. Freidlin,A. D. Wentzell Textbook 19982nd edition Springer Science+Business Media New York

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书目名称Random Perturbations of Dynamical Systems
编辑M. I. Freidlin,A. D. Wentzell
视频video
丛书名称Grundlehren der mathematischen Wissenschaften
图书封面Titlebook: Random Perturbations of Dynamical Systems;  M. I. Freidlin,A. D. Wentzell Textbook 19982nd edition Springer Science+Business Media New York
描述The first edition of this book was published in 1979 in Russian. Most of the material presented was related to large-deviation theory for stochastic pro­ cesses. This theory was developed more or less at the same time by different authors in different countries. This book was the first monograph in which large-deviation theory for stochastic processes was presented. Since then a number of books specially dedicated to large-deviation theory have been pub­ lished, including S. R. S. Varadhan [4], A. D. Wentzell [9], J. -D. Deuschel and D. W. Stroock [1], A. Dembo and O. Zeitouni [1]. Just a few changes were made for this edition in the part where large deviations are treated. The most essential is the addition of two new sections in the last chapter. Large deviations for infinite-dimensional systems are briefly conside:red in one new section, and the applications of large-deviation theory to wave front prop­ agation for reaction-diffusion equations are considered in another one. Large-deviation theory is not the only class of limit theorems arising in the context of random perturbations of dynamical systems. We therefore included in the second edition a number of new results related
出版日期Textbook 19982nd edition
关键词Boundary value problem; Markov process; Power; dynamical systems; stochastic processes
版次2
doihttps://doi.org/10.1007/978-1-4612-0611-8
isbn_ebook978-1-4612-0611-8Series ISSN 0072-7830 Series E-ISSN 2196-9701
issn_series 0072-7830
copyrightSpringer Science+Business Media New York 1998
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Textbook 19982nd editionro­ cesses. This theory was developed more or less at the same time by different authors in different countries. This book was the first monograph in which large-deviation theory for stochastic processes was presented. Since then a number of books specially dedicated to large-deviation theory have b
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Stability Under Random Perturbations,e initial conditions or of the right side of an equation. In this chapter we consider some problems concerning stability under random perturbations. First we recall the basic notions of classical stability theory.
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