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Titlebook: Dynamical Systems II; Ergodic Theory with Ya. G. Sinai Book 19891st edition Springer-Verlag Berlin Heidelberg 1989 dynamical systems.ergod

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樓主
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書目名稱Dynamical Systems II
副標題Ergodic Theory with
編輯Ya. G. Sinai
視頻videohttp://file.papertrans.cn/284/283865/283865.mp4
叢書名稱Encyclopaedia of Mathematical Sciences
圖書封面Titlebook: Dynamical Systems II; Ergodic Theory with  Ya. G. Sinai Book 19891st edition Springer-Verlag Berlin Heidelberg 1989 dynamical systems.ergod
描述Following the concept of the EMS series this volume sets out to familiarize the reader to the fundamental ideas and results of modern ergodic theory and to its applications to dynamical systems and statistical mechanics. The exposition starts from the basic of the subject, introducing ergodicity, mixing and entropy. Then the ergodic theory of smooth dynamical systems is presented - hyperbolic theory, billiards, one-dimensional systems and the elements of KAM theory. Numerous examples are presented carefully along with the ideas underlying the most important results. The last part of the book deals with the dynamical systems of statistical mechanics, and in particular with various kinetic equations. This book is compulsory reading for all mathematicians working in this field, or wanting to learn about it.
出版日期Book 19891st edition
關鍵詞dynamical systems; ergodic theory; ergodicity; mechanics; mixing; statistical mechanics
版次1
doihttps://doi.org/10.1007/978-3-662-06788-8
isbn_ebook978-3-662-06788-8Series ISSN 0938-0396
issn_series 0938-0396
copyrightSpringer-Verlag Berlin Heidelberg 1989
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Entropy Theory of Dynamical Systems others, in connection with the analysis of irreversibility phenomena. Later, entropy appeared and became the fundamental concept in the information theory created by C. Shannon in the 1940’s and was concerned with the problems of the transmission of information in the presence of noise. Though the
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Ergodic Theory of One-Dimensional Mappings dynamical systems and ergodic theory. Phase spaces of these systems are intervals . ? R. and transformations are real-valued functions determined on . and taking their values in .. We shall study invariant measures of one-dimensional maps, especially absolutely continuous invariant measures. The to
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