Lyapunov exponents of linear cocycles [electronic resource] : continuity via large deviations / Pedro Duarte, Silvius Klein.

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Lyapunov exponents of linear cocycles [electronic resource] : continuity via large deviations / Pedro Duarte, Silvius Klein.

9789462391246 (electronic book)
9462391246 (electronic book)
9789462391239
9462391238

[Place of publication not identified] : Atlantis Press, 2016.

English

1 online resource.

10.2991/978-94-6239-124-6 doi

QA372

515.35

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.

Includes bibliographical references and index.

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Atlantis series in dynamical systems ; v. 3.

Print version: 9462391238

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