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Titlebook: Ergodic Theory; I. P. Cornfeld,S. V. Fomin,Ya. G. Sinai Book 1982 Springer-Verlag New York Inc. 1982 Elementary Analysis.Ergodentheorie.Er

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書目名稱Ergodic Theory
編輯I. P. Cornfeld,S. V. Fomin,Ya. G. Sinai
視頻videohttp://file.papertrans.cn/315/314486/314486.mp4
叢書名稱Grundlehren der mathematischen Wissenschaften
圖書封面Titlebook: Ergodic Theory;  I. P. Cornfeld,S. V. Fomin,Ya. G. Sinai Book 1982 Springer-Verlag New York Inc. 1982 Elementary Analysis.Ergodentheorie.Er
描述Ergodic theory is one of the few branches of mathematics which has changed radically during the last two decades. Before this period, with a small number of exceptions, ergodic theory dealt primarily with averaging problems and general qualitative questions, while now it is a powerful amalgam of methods used for the analysis of statistical properties of dyna- mical systems. For this reason, the problems of ergodic theory now interest not only the mathematician, but also the research worker in physics, biology, chemistry, etc. The outline of this book became clear to us nearly ten years ago but, for various reasons, its writing demanded a long period of time. The main principle, which we adhered to from the beginning, was to develop the approaches and methods or ergodic theory in the study of numerous concrete examples. Because of this, Part I of the book contains the description of various classes of dynamical systems, and their elementary analysis on the basis of the fundamental notions of ergodicity, mixing, and spectra of dynamical systems. Here, as in many other cases, the adjective" elementary" i~ not synonymous with "simple. " Part II is devoted to "abstract ergodic theory. "
出版日期Book 1982
關(guān)鍵詞Elementary Analysis; Ergodentheorie; Ergodic theory; ergodicity; mixing
版次1
doihttps://doi.org/10.1007/978-1-4615-6927-5
isbn_softcover978-1-4615-6929-9
isbn_ebook978-1-4615-6927-5Series ISSN 0072-7830 Series E-ISSN 2196-9701
issn_series 0072-7830
copyrightSpringer-Verlag New York Inc. 1982
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書目名稱Ergodic Theory影響因子(影響力)




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George R. Pettit,Richard H. Ode,..., .. ∈ ?. Suppose . is a normalized measure on ?? and ? is the completion of ?? with respect to the measure .. In probability theory the triple (., ?, .) is said to be a . and the space (., ?) is the . of this process.
地板
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https://doi.org/10.1007/978-981-19-0015-0orhood of a closed trajectory he proposed to consider the “return” map which arises on a transversal surface of codimension 1 to the closed trajectory: the transformation consists in following the trajectory starting at a given point of the surface until its next intersection with the surface.
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https://doi.org/10.1007/978-3-658-25577-0ity of their approximations by the periodic dynamical systems which are simplest from some point of view. We shall see that many properties of dynamical systems are intimately related to the character of their approximations.
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Billiardsnce is equal to the angle of reflection.” Besides the intrinsic interest of the problem, systems of billiards are remarkable in view of the fact that they naturally appear in many important problems of physics.
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Dynamical Systems in Probability Theory,..., .. ∈ ?. Suppose . is a normalized measure on ?? and ? is the completion of ?? with respect to the measure .. In probability theory the triple (., ?, .) is said to be a . and the space (., ?) is the . of this process.
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Approximations of Dynamical Systemsity of their approximations by the periodic dynamical systems which are simplest from some point of view. We shall see that many properties of dynamical systems are intimately related to the character of their approximations.
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