國立虎尾科技大學 |

Lyapunov Exponents of Linear Cocycles = Continuity via Large Deviations /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Lyapunov Exponents of Linear Cocycles/ by Pedro Duarte, Silvius Klein.
Reminder of title:	Continuity via Large Deviations /
Author:	Duarte, Pedro.
other author:	Klein, Silvius.
Description:	XIII, 263 p. 4 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Dynamics. -
Online resource:	https://doi.org/10.2991/978-94-6239-124-6
ISBN:	9789462391246

Lyapunov Exponents of Linear Cocycles = Continuity via Large Deviations /
Duarte, Pedro.

Lyapunov Exponents of Linear CocyclesContinuity via Large Deviations /[electronic resource] :by Pedro Duarte, Silvius Klein. - 1st ed. 2016. - XIII, 263 p. 4 illus.online resource. - Atlantis Studies in Dynamical Systems ;3. - Atlantis Studies in Dynamical Systems ;5.

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.

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.

ISBN: 9789462391246

Standard No.: 10.2991/978-94-6239-124-6doiSubjects--Topical Terms:

592238
Dynamics.

LC Class. No.: QA313

Dewey Class. No.: 515.39

Lyapunov Exponents of Linear Cocycles = Continuity via Large Deviations /
LDR:02442nam a22004095i 4500 001 982755
003 DE-He213
005 20200705140029.0
007 cr nn 008mamaa
008 201211s2016 fr | s |||| 0|eng d
020 $a 9789462391246 $9 978-94-6239-124-6
024 7 $a 10.2991/978-94-6239-124-6 $2 doi
035 $a 978-94-6239-124-6
050 4 $a QA313
072 7 $a PBWR $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBWR $2 thema
082 0 4 $a 515.39 $2 23
082 0 4 $a 515.48 $2 23
100 1 $a Duarte, Pedro. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 782279
245 1 0 $a Lyapunov Exponents of Linear Cocycles $h [electronic resource] : $b Continuity via Large Deviations / $c by Pedro Duarte, Silvius Klein.
250 $a 1st ed. 2016.
264 1 $a Paris : $b Atlantis Press : $b Imprint: Atlantis Press, $c 2016.
300 $a XIII, 263 p. 4 illus. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Atlantis Studies in Dynamical Systems ; $v 3
505 0 $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.
520 $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.
650 0 $a Dynamics. $3 592238
650 0 $a Ergodic theory. $3 672355
650 0 $a Mathematical physics. $3 527831
650 1 4 $a Dynamical Systems and Ergodic Theory. $3 671353
650 2 4 $a Mathematical Physics. $3 786661
700 1 $a Klein, Silvius. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1107091
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9789462391239
776 0 8 $i Printed edition: $z 9789462391253
830 0 $a Atlantis Studies in Dynamical Systems ; $v 5 $3 1272244
856 4 0 $u https://doi.org/10.2991/978-94-6239-124-6
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)