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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Lyapunov Exponents of Linear Cocycles: Continuity Via Large Deviations

Lyapunov Exponents of Linear Cocycles: Continuity Via Large Deviations

Duarte, Pedro
Klein, Silvius

Hardcover

Series: Atlantis Studies in Dynamical Systems, Book 3

General MathematicsPhysics

ISBN10: 9462391238
ISBN13: 9789462391239
Publisher: Atlantis Pr
Published: Mar 30 2016
Pages: 263
Weight: 1.25
Height: 0.69 Width: 6.14 Depth: 9.21
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.

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