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02733nam a22005055i 4500 |
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|a 9789462391246
|9 978-94-6239-124-6
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|a 10.2991/978-94-6239-124-6
|2 doi
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|a Duarte, Pedro.
|e author.
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|a Lyapunov Exponents of Linear Cocycles
|h [electronic resource] :
|b Continuity via Large Deviations /
|c by Pedro Duarte, Silvius Klein.
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|a 1st ed. 2016.
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|a Paris :
|b Atlantis Press :
|b Imprint: Atlantis Press,
|c 2016.
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| 300 |
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|a XIII, 263 p. 4 illus.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
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|2 rdamedia
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|a online resource
|b cr
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|a text file
|b PDF
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| 490 |
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|a Atlantis Studies in Dynamical Systems ;
|v 3
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|a Introduction -- Estimates on Grassmann Manifolds -- Abstract Continuity of Lyapunov Exponents -- The Oseledets Filtration and Decomposition -- Large Deviations for Random Cocycles -- Large Deviations for Quasi-Periodic Cocycles -- Further Related Problems.
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|a 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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| 650 |
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|a Mathematics.
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| 650 |
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|a Dynamics.
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| 650 |
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|a Ergodic theory.
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| 650 |
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|a Mathematical physics.
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| 650 |
1 |
4 |
|a Mathematics.
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| 650 |
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|a Dynamical Systems and Ergodic Theory.
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| 650 |
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|a Mathematical Physics.
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| 700 |
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|a Klein, Silvius.
|e author.
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| 710 |
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|a SpringerLink (Online service)
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|t Springer eBooks
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|i Printed edition:
|z 9789462391239
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| 830 |
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|a Atlantis Studies in Dynamical Systems ;
|v 3
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| 856 |
4 |
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|u http://dx.doi.org/10.2991/978-94-6239-124-6
|z Full Text via HEAL-Link
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| 912 |
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|a ZDB-2-SMA
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
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