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Titlebook: Ergodic Theory; Independence and Dic David Kerr,Hanfeng Li Book 2016 Springer International Publishing AG 2016 Ergodic Theory.Topological D

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發(fā)表于 2025-3-21 16:53:39 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Ergodic Theory
副標題Independence and Dic
編輯David Kerr,Hanfeng Li
視頻videohttp://file.papertrans.cn/315/314485/314485.mp4
概述Provides an introduction to the ergodic theory and topological dynamics of actions of general countable groups.Covers several topics of current research interest, including Popa‘s cocycle superrigidit
叢書名稱Springer Monographs in Mathematics
圖書封面Titlebook: Ergodic Theory; Independence and Dic David Kerr,Hanfeng Li Book 2016 Springer International Publishing AG 2016 Ergodic Theory.Topological D
描述This book provides an introduction to the ergodic theory and topological dynamics of actions of countable groups.?It is organized around the theme of probabilistic and combinatorial independence,?and highlights the complementary roles of the asymptotic and the perturbative in its comprehensive treatment?of the core concepts of weak mixing, compactness, entropy, and amenability.?The more advanced material includes Popa‘s cocycle superrigidity, the Furstenberg-Zimmer structure theorem, and sofic entropy.. . The structure of the book is designed to be flexible enough to serve a variety of readers.?The discussion of dynamics is developed from scratch assuming some rudimentary functional analysis, measure theory, and topology, and parts of the text can be used as an introductory course.?Researchers in ergodic theory and related areas will also find the book valuable as a reference.
出版日期Book 2016
關鍵詞Ergodic Theory; Topological Dynamics; Weak Mixing; Entropy; Entropy Independence; Sofic Groups; Homoclinic
版次1
doihttps://doi.org/10.1007/978-3-319-49847-8
isbn_softcover978-3-319-84254-7
isbn_ebook978-3-319-49847-8Series ISSN 1439-7382 Series E-ISSN 2196-9922
issn_series 1439-7382
copyrightSpringer International Publishing AG 2016
The information of publication is updating

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M. N. Walsh,J. J. Hubert,E. M. CarterErgodicity, freeness, and Poincaré recurrence are the three most basic properties in ergodic theory, and not coincidentally they can all be motivated in analogy with the simple picture that describes arbitrary group actions on ordinary sets.
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,Exploratory Data Analysis in “R”,As shown in Theorem?., every unitary representation . of a group on a Hilbert space decomposes uniquely into a sum of a weakly mixing representation and a compact representation. The weakly mixing and compact vectors each form a closed .-invariant subspace of ., and these subspaces are orthogonal and have direct sum equal to ..
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Susanne Zibek,Gloria Soberón-ChávezIn Section?. we arrived at a definition of entropy for p.m.p. actions of amenable groups by combining a concept which is internal to the space (the Shannon entropy of a partition) with one which is internal to the group (the process of averaging over F?lner sets).
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