E-Book, Englisch, Band 3, 263 Seiten, eBook
Duarte / Klein Lyapunov Exponents of Linear Cocycles
2016
ISBN: 978-94-6239-124-6
Verlag: Atlantis Press
Format: PDF
Kopierschutz: 1 - PDF Watermark
Continuity via Large Deviations
E-Book, Englisch, Band 3, 263 Seiten, eBook
Reihe: Atlantis Studies in Dynamical Systems
ISBN: 978-94-6239-124-6
Verlag: Atlantis Press
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
Introduction.- Estimates on Grassmann Manifolds.- Abstract Continuity of Lyapunov Exponents.- The Oseledets Filtration and Decomposition.- Large Deviations for Random Cocycles.- Large Deviations for Quasi-Periodic Cocycles.- Further Related Problems.
