Lyapunov exponents of linear cocycles [Documento eletrónico] : continuity via large deviations / Pedro Duarte, Silvius Klein
Language: eng - inglesa.Country: FR -França.Publication: Paris : Atlantis Press, 2016Description: XIII, 263 p. : il.ISBN: 978-94-6239-124-6.Series: Atlantis Studies in Dynamical Systems , 3Subject - Topical Name: Sistemas dinâmicos diferenciais | Teoria ergódica | Física matemática Online Resources:Click here to access online| Item type | Current location | Collection | Call number | Copy number | Status | Date due | Barcode |
|---|---|---|---|---|---|---|---|
| E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA312.SPR FCT 97134 (Browse shelf) | 1 | Available |
Colocação: Online
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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