Lyapunov exponents of linear cocycles : continuity via large deviations /

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Bibliographic Details
Author / Creator:Duarte, Pedro, author.
Imprint:[Place of publication not identified] : Atlantis Press, 2016.
Description:1 online resource
Language:English
Series:Atlantis series in dynamical systems ; volume 3
Atlantis series in dynamical systems ; v. 3.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11253966
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Other authors / contributors:Klein, Silvius, author.
ISBN:9789462391246
9462391246
9789462391239
9462391238
Digital file characteristics:text file PDF
Notes:Includes bibliographical references and index.
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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.
Other form:Print version: Duarte, Pedro. Lyapunov exponents of linear cocycles. [Place of publication not identified] : Atlantis Press, 2016 9789462391239 9462391238
Standard no.:10.2991/978-94-6239-124-6
10.2991/978-94-6239-