000 02980nam a22005055i 4500
001 978-94-6239-124-6
003 DE-He213
005 20181204134231.0
007 cr nn 008mamaa
008 160321s2016 fr | s |||| 0|eng d
020 _a9789462391246
_9978-94-6239-124-6
024 7 _a10.2991/978-94-6239-124-6
_2doi
040 _aISI Library, Kolkata
050 4 _aQA313
072 7 _aPBWR
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aPBWR
_2thema
082 0 4 _a515.39
_223
082 0 4 _a515.48
_223
100 1 _aDuarte, Pedro.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aLyapunov Exponents of Linear Cocycles
_h[electronic resource] :
_bContinuity via Large Deviations /
_cby Pedro Duarte, Silvius Klein.
250 _a1st ed. 2016.
264 1 _aParis :
_bAtlantis Press :
_bImprint: Atlantis Press,
_c2016.
300 _aXIII, 263 p. 4 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aAtlantis Studies in Dynamical Systems ;
_v3
505 0 _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.
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.
650 0 _aDifferentiable dynamical systems.
650 1 4 _aDynamical Systems and Ergodic Theory.
_0http://scigraph.springernature.com/things/product-market-codes/M1204X
650 2 4 _aMathematical Physics.
_0http://scigraph.springernature.com/things/product-market-codes/M35000
700 1 _aKlein, Silvius.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9789462391239
776 0 8 _iPrinted edition:
_z9789462391253
830 0 _aAtlantis Studies in Dynamical Systems ;
_v3
856 4 0 _uhttps://doi.org/10.2991/978-94-6239-124-6
912 _aZDB-2-SMA
942 _cEB
950 _aMathematics and Statistics (Springer-11649)
999 _c426668
_d426668