Lyapunov exponents of linear cocycles [electronic resource] : continuity via large deviations / Pedro Duarte, Silvius Klein.
Duarte, Pedro, author.; Klein, Silvius, author.
2016
QA372
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Title Lyapunov exponents of linear cocycles [electronic resource] : continuity via large deviations / Pedro Duarte, Silvius Klein.
Author Duarte, Pedro, author.
ISBN 9789462391246 (electronic book)
9462391246 (electronic book)
9789462391239
9462391238
DOI https://doi.org/10.2991/978-94-6239-124-6
Published [Place of publication not identified] : Atlantis Press, 2016.
Language English
Description 1 online resource.
Other Standard Identifiers 10.2991/978-94-6239-124-6 doi
Call Number QA372
Dewey Decimal Classification 515.35
Summary The aim of this monograph is to present a general method of proving continuity of Lyapunov exponents of linear cocycles. The method uses an inductive procedure based on a general, geometric version of the Avalanche Principle. The main assumption required by this method is the availability of appropriate large deviation type estimates for quantities related to the iterates of the base and fiber dynamics associated with the linear cocycle. We establish such estimates for various models of random and quasi-periodic cocycles. Our method has its origins in a paper of M. Goldstein and W. Schlag. Our present work expands upon their approach in both depth and breadth. We conclude this monograph with a list of related open problems, some of which may be treated using a similar approach.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Added Author Klein, Silvius, author.
Series Atlantis series in dynamical systems ; v. 3.
Available in Other Form Print version: 9462391238
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Introduction
Estimates on Grassmann Manifolds
Abstract Continuity of Lyapunov Exponents
The Oseledets Filtration and Decomposition
Large Deviations for Random Cocycles
Large Deviations for Quasi-Periodic Cocycles
Further Related Problems.

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