Lyapunov Exponents of Linear Cocycles

Lyapunov Exponents of Linear Cocycles
Author :
Publisher : Springer
Total Pages : 271
Release :
ISBN-10 : 9789462391246
ISBN-13 : 9462391246
Rating : 4/5 (246 Downloads)

Book Synopsis Lyapunov Exponents of Linear Cocycles by : Pedro Duarte

Download or read book Lyapunov Exponents of Linear Cocycles written by Pedro Duarte and published by Springer. This book was released on 2016-03-21 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Lyapunov Exponents of Linear Cocycles Related Books

Lyapunov Exponents of Linear Cocycles
Language: en
Pages: 271
Authors: Pedro Duarte
Categories: Mathematics
Type: BOOK - Published: 2016-03-21 - Publisher: Springer

DOWNLOAD EBOOK

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
Lectures on Lyapunov Exponents
Language: en
Pages: 217
Authors: Marcelo Viana
Categories: Mathematics
Type: BOOK - Published: 2014-07-24 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

The theory of Lyapunov exponents originated over a century ago in the study of the stability of solutions of differential equations. Written by one of the subje
New Trends in Lyapunov Exponents
Language: en
Pages: 184
Authors: João Lopes Dias
Categories: Mathematics
Type: BOOK - Published: 2023-11-29 - Publisher: Springer Nature

DOWNLOAD EBOOK

This volume presents peer-reviewed surveys on new developments in the study of Lyapunov exponents in dynamical systems and its applications to other areas, such
Lyapunov Exponents
Language: en
Pages: 372
Authors: Ludwig Arnold
Categories: Mathematics
Type: BOOK - Published: 2006-11-14 - Publisher: Springer

DOWNLOAD EBOOK

Since the predecessor to this volume (LNM 1186, Eds. L. Arnold, V. Wihstutz)appeared in 1986, significant progress has been made in the theory and applications
Lyapunov Exponents
Language: en
Pages: 273
Authors: Luís Barreira
Categories: Mathematics
Type: BOOK - Published: 2017-12-30 - Publisher: Birkhäuser

DOWNLOAD EBOOK

This book offers a self-contained introduction to the theory of Lyapunov exponents and its applications, mainly in connection with hyperbolicity, ergodic theory