Lyapunov Exponents of Linear Cocycles: Continuity via Large Deviations: 3 (Atlantis Studies in Dynamical Systems, 3) - Image 1

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Springer Lyapunov Exponents of Linear Cocycles: Continuity via Large Deviations: 3 (Atlantis Studies in Dynamical Systems, 3)

Name: Lyapunov Exponents of Linear Cocycles: Continuity via Large Deviations: 3 (Atlantis Studies in Dynamical Systems, 3)
Brand: Springer
Price: 61.13 GBP
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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.

Product Specifications

Brand: Springer
Format: hardcover
ASIN: 9462391238
Category: Books > Subjects > Reference
Domain: Amazon UK
Release Date: 19 April 2016
Listed Since: 05 March 2015

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Springer Lyapunov Exponents of Linear Cocycles: Continuity via Large Deviations: 3 (Atlantis Studies in Dynamical Systems, 3)

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