Lyapunov Exponents of Linear Cocycles Continuity via Large Deviations /

• Main Authors: Duarte, Pedro (Author), Klein, Silvius (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Paris : Atlantis Press : Imprint: Atlantis Press, 2016.
• Edition: 1st ed. 2016.
• Series: Atlantis Studies in Dynamical Systems ; 3
• Subjects: Mathematics.; Dynamics.; Ergodic theory.; Mathematical physics.; Dynamical Systems and Ergodic Theory.; Mathematical Physics.

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...

Table of Contents:

• 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.