Lyapunov Exponents of Linear Cocycles: Continuity Via Large Deviations - Couverture rigide

Duarte, Pedro; Klein, Silvius

 
9789462391239: Lyapunov Exponents of Linear Cocycles: Continuity Via Large Deviations
Couverture rigide
ISBN 10 : 9462391238 ISBN 13 : 9789462391239
Editeur : Atlantis Press (Zeger Karssen), 2016

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
Atlantis Press (Zeger Karssen)
Date d'édition
2016
Langue
anglais
ISBN 10 
9462391238
ISBN 13 
9789462391239
Reliure
Relié
Nombre de pages
276
Coordonnées du fabricant
ProductSafety@springernature.com
ProductSafety@springernature.com

Poststr. 9
Darmstadt
64293
Allemagne

Autres éditions populaires du même titre

9789462391253: Lyapunov Exponents of Linear Cocycles: Continuity via Large Deviations

Edition présentée

ISBN 10 :  9462391254 ISBN 13 :  9789462391253
Editeur : Atlantis Press, 2016
Couverture souple