Lyapunov Exponents of Linear Cocycles

Continuity via Large Deviations

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Éditeur :

Atlantis Press


Paru le : 2016-03-21



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Description
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.
Pages
263 pages
Collection
n.c
Parution
2016-03-21
Marque
Atlantis Press
EAN papier
9789462391239
EAN EPUB
9789462391246

Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
26
Taille du fichier
6605 Ko
Prix
95,39 €

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