書(shū)目名稱(chēng) | Lyapunov Exponents of LinearCocycles |
副標(biāo)題 | Continuity via Large |
編輯 | Pedro Duarte,Silvius Klein |
視頻video | http://file.papertrans.cn/590/589171/589171.mp4 |
概述 | Unified approach to proving continuity of Lyapunov exponents for various types of linear cocycles.Uniform large deviation type estimates established for iterates of general quasi-periodic and random c |
叢書(shū)名稱(chēng) | Atlantis Studies in Dynamical Systems |
圖書(shū)封面 |  |
描述 | 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. |
出版日期 | Book 2016 |
關(guān)鍵詞 | Bernoulli Cocycles; Large Deviations; Lyapunov Exponents; Quasi-periodic Cocycles; Subharmonic Functions |
版次 | 1 |
doi | https://doi.org/10.2991/978-94-6239-124-6 |
isbn_ebook | 978-94-6239-124-6Series ISSN 2213-3526 Series E-ISSN 2213-3534 |
issn_series | 2213-3526 |
copyright | Atlantis Press and the author(s) 2016 |