Nonuniformly Hyperbolic Attractors by José F. Alves (.ePUB)
File Size: 26 MB
Nonuniformly Hyperbolic Attractors: Geometric and Probabilistic Aspects (Springer Monographs in Mathematics) 1st ed. 2020 Edition by José F. Alves (Author)
Requirements: .ePUB reader, 26 MB
Overview: 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.
Genre: Non-Fiction > Educational
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