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Lyapunov Exponents of Linear Cocycles

Lyapunov Exponents of Linear Cocycles

von Pedro Duarte und Silvius Klein
Hardcover - 9789462391239
101,64 €
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Beschreibung

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.

Continuity via Large Deviations

Details

Verlag Atlantis Press
Ersterscheinung 30. März 2016
Maße 23.5 cm x 15.5 cm
Gewicht 5443 Gramm
Format Hardcover
ISBN-13 9789462391239
Auflage 1st ed. 2016
Seiten 263