Overview
- 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 diffeomorphisms
- Includes a detailed account of Gibbs–Markov maps
Part of the book series: Springer Monographs in Mathematics (SMM)
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Table of contents (7 chapters)
Keywords
About this book
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 accessible, self-contained presentation.
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Nonuniformly Hyperbolic Attractors
Book Subtitle: Geometric and Probabilistic Aspects
Authors: José F. Alves
Series Title: Springer Monographs in Mathematics
DOI: https://doi.org/10.1007/978-3-030-62814-7
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020
Hardcover ISBN: 978-3-030-62813-0Published: 20 December 2020
Softcover ISBN: 978-3-030-62816-1Published: 20 December 2021
eBook ISBN: 978-3-030-62814-7Published: 19 December 2020
Series ISSN: 1439-7382
Series E-ISSN: 2196-9922
Edition Number: 1
Number of Pages: XI, 259
Number of Illustrations: 5 b/w illustrations
Topics: Dynamical Systems and Ergodic Theory, Vibration, Dynamical Systems, Control