Overview
Lyapunov exponents are the main theme from beginning to end
Provides a comprehensive overview of the theory’s foundations
Highlights selected topics of current research interest
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Table of contents (13 chapters)
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Front Matter
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Basic Theory
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Front Matter
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Further Topics
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Front Matter
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Hyperbolicity and Ergodic Theory
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Front Matter
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Multifractal Analysis
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Front Matter
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Back Matter
Keywords
About this book
This book offers a self-contained introduction to the theory of Lyapunov exponents and its applications, mainly in connection with hyperbolicity, ergodic theory and multifractal analysis. It discusses the foundations and some of the main results and main techniques in the area, while also highlighting selected topics of current research interest. With the exception of a few basic results from ergodic theory and the thermodynamic formalism, all the results presented include detailed proofs. The book is intended for all researchers and graduate students specializing in dynamical systems who are looking for a comprehensive overview of the foundations of the theory and a sample of its applications.
Reviews
“This monograph is a good source on the theory of Lyapunov exponents and their applications to fields as ergodic theory, hyperbolic dynamical systems, and multifractal analysis. The book is self-contained and is addressed to researchers of dynamical systems theory, as well as to all interested mathematicians from related fields. … The book contains an extensive bibliography.” (Ivan Podvigin, zbMATH 1407.37001, 2019)
“The book gives a good introduction to and an overview of the recent results on the abstract theory of Lyapunov exponents, with a focus on regularity theory. … This book can be read and understood by a novice, while it comprises an overview of some very recent results useful for an expert. It complements well the 'existing literature on Lyapunov exponents, notably on a now-classical theory of nonuniform hyperbolicity and Pesin theory … .” (Sinisa Slijepcevic, Mathematical Reviews, December, 2018)
Authors and Affiliations
Bibliographic Information
Book Title: Lyapunov Exponents
Authors: Luís Barreira
DOI: https://doi.org/10.1007/978-3-319-71261-1
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG 2017
Hardcover ISBN: 978-3-319-71260-4Published: 30 January 2018
Softcover ISBN: 978-3-319-89055-5Published: 06 June 2019
eBook ISBN: 978-3-319-71261-1Published: 30 December 2017
Edition Number: 1
Number of Pages: XI, 273