Lyapunov Exponents of Linear Cocycles

Language: English

Published by Atlantis Press (Zeger Karssen), NL, 2016

9462391238 / 9789462391239

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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.

Seller Inventory # LU-9789462391239

Title
Lyapunov Exponents of Linear Cocycles
Author
Pedro Duarte, Silvius Klein
Publisher
Atlantis Press (Zeger Karssen), NL
Publication year
2016
Condition
New
Binding
Hardback
Language
English
ISBN 10
9462391238
ISBN 13
9789462391239
Edition
2016 ed.

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