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000754344 019__ $$a945582909
000754344 020__ $$a9789462391246$$q(electronic book)
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000754344 0247_ $$a10.2991/978-94-6239-124-6$$2doi
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000754344 035__ $$aSP(OCoLC)945445122$$z(OCoLC)945582909
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000754344 049__ $$aISEA
000754344 050_4 $$aQA372
000754344 08204 $$a515.35$$223
000754344 1001_ $$aDuarte, Pedro,$$eauthor.
000754344 24510 $$aLyapunov exponents of linear cocycles$$h[electronic resource] :$$bcontinuity via large deviations /$$cPedro Duarte, Silvius Klein.
000754344 264_1 $$a[Place of publication not identified] :$$bAtlantis Press,$$c2016.
000754344 300__ $$a1 online resource.
000754344 336__ $$atext$$btxt$$2rdacontent
000754344 337__ $$acomputer$$bc$$2rdamedia
000754344 338__ $$aonline resource$$bcr$$2rdacarrier
000754344 4901_ $$aAtlantis series in dynamical systems ;$$vvolume 3
000754344 504__ $$aIncludes bibliographical references and index.
000754344 5050_ $$aIntroduction -- 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.
000754344 506__ $$aAccess limited to authorized users.
000754344 520__ $$aThe 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.
000754344 650_0 $$aLyapunov exponents.
000754344 650_0 $$aCocycles.
000754344 650_0 $$aGrassmann manifolds.
000754344 7001_ $$aKlein, Silvius,$$eauthor.
000754344 77608 $$iPrint version:$$z9789462391239$$z9462391238$$w(OCoLC)907193351
000754344 830_0 $$aAtlantis series in dynamical systems ;$$vv. 3.
000754344 852__ $$bebk
000754344 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.2991/978-94-6239-124-6$$zOnline Access$$91397441.1
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