Nonuniformly Hyperbolic Attractors

Nonuniformly Hyperbolic Attractors
Author :
Publisher : Springer Nature
Total Pages : 259
Release :
ISBN-10 : 9783030628147
ISBN-13 : 3030628140
Rating : 4/5 (140 Downloads)

Book Synopsis Nonuniformly Hyperbolic Attractors by : José F. Alves

Download or read book Nonuniformly Hyperbolic Attractors written by José F. Alves and published by Springer Nature. This book was released on 2020-12-19 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 topics of 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.


Nonuniformly Hyperbolic Attractors Related Books

Nonuniformly Hyperbolic Attractors
Language: en
Pages: 259
Authors: José F. Alves
Categories: Mathematics
Type: BOOK - Published: 2020-12-19 - Publisher: Springer Nature

DOWNLOAD EBOOK

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, Ergodic Theory and Applications
Language: en
Pages: 476
Authors: L.A. Bunimovich
Categories: Mathematics
Type: BOOK - Published: 2000-04-05 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

This EMS volume, the first edition of which was published as Dynamical Systems II, EMS 2, familiarizes the reader with the fundamental ideas and results of mode
Admissibility and Hyperbolicity
Language: en
Pages: 153
Authors: Luís Barreira
Categories: Mathematics
Type: BOOK - Published: 2018-05-02 - Publisher: Springer

DOWNLOAD EBOOK

This book gives a comprehensive overview of the relationship between admissibility and hyperbolicity. Essential theories and selected developments are discussed
Handbook of Dynamical Systems
Language: en
Pages: 1235
Authors: A. Katok
Categories: Mathematics
Type: BOOK - Published: 2005-12-17 - Publisher: Elsevier

DOWNLOAD EBOOK

This second half of Volume 1 of this Handbook follows Volume 1A, which was published in 2002. The contents of these two tightly integrated parts taken together
Nonuniform Hyperbolicity
Language: en
Pages:
Authors: Luis Barreira
Categories:
Type: BOOK - Published: 2014-02-19 - Publisher:

DOWNLOAD EBOOK

A self-contained, comprehensive account of modern smooth ergodic theory, the mathematical foundation of deterministic chaos.