| 书目名称 | Ergodic Theory | | 副标题 | Independence and Dic | | 编辑 | David Kerr,Hanfeng Li | | 视频video | | | 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 | | 丛书名称 | Springer Monographs in Mathematics | | 图书封面 |  | | 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 | | 关键词 | Ergodic Theory; Topological Dynamics; Weak Mixing; Entropy; Entropy Independence; Sofic Groups; Homoclinic | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-49847-8 | | isbn_softcover | 978-3-319-84254-7 | | isbn_ebook | 978-3-319-49847-8Series ISSN 1439-7382 Series E-ISSN 2196-9922 | | issn_series | 1439-7382 | | copyright | Springer International Publishing AG 2016 |
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发表于 2025-3-21 16:53:39
