Lyapunov Exponents of Linear Cocycles: Continuity Via Large Deviations

ISBN-13: 9789462391239 / Angielski / Twarda / 2016 / 263 str.

Pedro Duarte; Silvius Klein

Opis

The aim of this monograph is to present a general method of proving continuity of Lyapunov exponents of linear cocycles. 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.

Recenzje

"The effort of the authors to make this text self-contained and to make the exposition very clear and delightful was successful, making this monograph an excellent contribution for both graduate student and anyone interested in the continuity of Lyapunov Exponents." (Paulo Varandas, Mathematical Reviews, June, 2018)

Spis treści

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.