Lyapunov Exponents of Linear Cocycles

Continuity via Large Deviations

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Science, Physics, Mathematical Physics
Cover of the book Lyapunov Exponents of Linear Cocycles by Pedro Duarte, Silvius Klein, Atlantis Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Pedro Duarte, Silvius Klein ISBN: 9789462391246
Publisher: Atlantis Press Publication: March 21, 2016
Imprint: Atlantis Press Language: English
Author: Pedro Duarte, Silvius Klein
ISBN: 9789462391246
Publisher: Atlantis Press
Publication: March 21, 2016
Imprint: Atlantis Press
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Atlantis Press

Cover of the book Analysis and Enumeration by Pedro Duarte, Silvius Klein
Cover of the book Principles of Mathematical Economics by Pedro Duarte, Silvius Klein
Cover of the book Nanotechnology in a Nutshell by Pedro Duarte, Silvius Klein
Cover of the book Landscape and Quaternary Environmental Change in New Zealand by Pedro Duarte, Silvius Klein
Cover of the book Extreme Value Distributions by Pedro Duarte, Silvius Klein
Cover of the book Topics in Modern Differential Geometry by Pedro Duarte, Silvius Klein
Cover of the book Characterizations of Univariate Continuous Distributions by Pedro Duarte, Silvius Klein
Cover of the book A Lifetime for Revenge by Pedro Duarte, Silvius Klein
Cover of the book Proceedings of the 22nd International Conference on Industrial Engineering and Engineering Management 2015 by Pedro Duarte, Silvius Klein
Cover of the book The Inverse Problem of the Calculus of Variations by Pedro Duarte, Silvius Klein
Cover of the book Proceedings of the IV Advanced Ceramics and Applications Conference by Pedro Duarte, Silvius Klein
Cover of the book Ordered Random Variables: Theory and Applications by Pedro Duarte, Silvius Klein
Cover of the book Generalized Metric Spaces and Mappings by Pedro Duarte, Silvius Klein
Cover of the book Modeling in Mathematics by Pedro Duarte, Silvius Klein
Cover of the book Logics in Computer Science by Pedro Duarte, Silvius Klein
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy