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Nonuniformly Hyperbolic Attractors: Geometric and Probabilistic Aspects

Nonuniformly Hyperbolic Attractors: Geometric and Probabilistic Aspects

Paperback

Series: Springer Monographs in Mathematics

Technology & EngineeringGeneral MathematicsGeneral Science

ISBN10: 3030628167
ISBN13: 9783030628161
Publisher: Springer
Published: Dec 20 2021
Pages: 259
Weight: 0.85
Height: 0.57 Width: 6.14 Depth: 9.21
Language: English
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.

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Alves, José F.

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General Mathematics