| Lyapunov Exponents of Linear Cocycles: Continuity Via Large Deviations 2016 Edition Contributor(s): Duarte, Pedro (Author), Klein, Silvius (Author) |
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ISBN: 9462391238 ISBN-13: 9789462391239 Publisher: Atlantis Press OUR PRICE: $103.55 Product Type: Hardcover Published: March 2016 |
| Additional Information |
| BISAC Categories: - Mathematics | Mathematical Analysis - Science | Physics - Mathematical & Computational - Mathematics | Differential Equations - General |
| Dewey: 515.39 |
| Series: Atlantis Studies in Dynamical Systems |
| Physical Information: 0.69" H x 6.14" W x 9.21" (1.25 lbs) 263 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |
