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Lyapunov Exponents of Linear Cocycles

Continuity via Large Deviations

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Éditeur :

Atlantis Press

Paru le : 2016-03-21

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 appropr...
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Description du livre

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.

À propos

Auteur
Pedro Duarte , Silvius Klein
Éditeur
Atlantis Press
Collection
n.c
Parution
2016-03-21
Pages
263 pages
EAN papier
9789462391239

Auteur(s) du livre


Defaut-Illustration Pedro Duarte
Defaut-Illustration Silvius Klein

Caractéristiques détaillées - droits

EAN EPUB
9789462391246
Prix
94,94 €
Nombre pages copiables
2
Nombre pages imprimables
26
Taille du fichier
6605 Ko
Ce livre est accessible aux handicaps informations d'accessibilité

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