书目名称 | Nonuniformly Hyperbolic Attractors |
副标题 | Geometric and Probab |
编辑 | José F. Alves |
视频video | |
概述 | Provides a self-contained introduction to the theory of Young towers for dynamical systems with inducing schemes.Collects recent results on nonuniformly expanding maps and partially hyperbolic diffeom |
丛书名称 | Springer Monographs in Mathematics |
图书封面 |  |
描述 | This monograph offers a coherent, self-contained account of the theory of Sinai–Ruelle–Bowen measures and decay of correlations for nonuniformly hyperbolic dynamical systems. .A central topic in the statistical theory of dynamical systems, the book in particular provides a detailed exposition of the theory developed by L.-S. Young for systems admitting induced maps with certain analytic and geometric properties. After a brief introduction and preliminary results, Chapters 3, 4, 6 and 7 provide essentially the same pattern of results in increasingly interesting and complicated settings. Each chapter builds on the previous one, apart from Chapter 5 which presents a general abstract framework to bridge the more classical expanding and hyperbolic systems explored in Chapters 3 and 4 with the nonuniformly expanding and partially hyperbolic systems described in Chapters 6 and 7. Throughout the book, the theory is illustrated with applications...A clear and detailed account of topicsof current research interest, this monograph will be of interest to researchers in dynamical systems and ergodic theory. In particular, beginning researchers and graduate students will appreciate the accessibl |
出版日期 | Book 2020 |
关键词 | Nonuniformly expanding maps; Inducing schemes; Young towers; Partially hyperbolic diffeomorphisms; Gibbs |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-030-62814-7 |
isbn_softcover | 978-3-030-62816-1 |
isbn_ebook | 978-3-030-62814-7Series ISSN 1439-7382 Series E-ISSN 2196-9922 |
issn_series | 1439-7382 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |