Lyapunov Exponents of Linear Cocycles: Continuity Via Large Deviations

by Pedro Duarte and Silvius Klein

Book Overview

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...

• Format: Hardcover
• Language: English
• ISBN: 9462391238
• ISBN13: 9789462391239
• Release Date: March 2016
• Publisher: Atlantis Press
• Length: 263 Pages
• Weight: 1.25 lbs.
• Dimensions: 0.7" x 6.1" x 9.2"