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Nonuniformly Hyperbolic Attractors: Geometric and Probabilistic Aspects (Springer Monographs in Mathematics) 1st ed. 2020 Edition, Kindle Edition

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Management number 219446503 Release Date 2026/05/03 List Price $49.03 Model Number 219446503
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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 accessible, self-contained presentation. Read more

XRay Not Enabled
Format Print Replica
ISBN13 978-3030628147
Edition 1st ed. 2020
Language English
File size 4.4 MB
Page Flip Not Enabled
Publisher Springer
Word Wise Not Enabled
Print length 270 pages
Accessibility Learn more
Part of series Springer Monographs in Mathematics
Publication date December 19, 2020
Enhanced typesetting Not Enabled

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