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Lyapunov Exponents of Linear Cocycles: Continuity via Large Deviations
Pedro Duarte
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Description for Lyapunov Exponents of Linear Cocycles: Continuity via Large Deviations
Hardcover. Series: Atlantis Studies in Dynamical Systems. Num Pages: 200 pages, 3 black & white illustrations, biography. BIC Classification: PBKJ. Category: (P) Professional & Vocational. Dimension: 235 x 155. .
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 ... Read more
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 ... Read more
Product Details
Publisher
Atlantis Press (Zeger Karssen)
Format
Hardback
Publication date
2016
Series
Atlantis Studies in Dynamical Systems
Condition
New
Weight
568g
Number of Pages
263
Place of Publication
, Netherlands
ISBN
9789462391239
SKU
V9789462391239
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Lyapunov Exponents of Linear Cocycles: Continuity via Large Deviations
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)