(DOWNLOAD) "Lyapunov Exponents of Linear Cocycles" by Pedro Duarte & Silvius Klein ~ eBook PDF Kindle ePub Free

eBook details

Title: Lyapunov Exponents of Linear Cocycles
Author : Pedro Duarte & Silvius Klein
Release Date : January 21, 2016
Genre: Mathematics,Books,Science & Nature,Physics,
Pages : * pages
Size : 8872 KB

Description

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.