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The Resource Lyapunov Exponents of Linear Cocycles : Continuity via Large Deviations, by Pedro Duarte, Silvius Klein, (electronic resource)

Lyapunov Exponents of Linear Cocycles : Continuity via Large Deviations, by Pedro Duarte, Silvius Klein, (electronic resource)

Label
Lyapunov Exponents of Linear Cocycles : Continuity via Large Deviations
Title
Lyapunov Exponents of Linear Cocycles
Title remainder
Continuity via Large Deviations
Statement of responsibility
by Pedro Duarte, Silvius Klein
Creator
Contributor
Subject
Language
eng
Summary
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
Member of
http://library.link/vocab/creatorName
Duarte, Pedro
Image bit depth
0
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
Klein, Silvius
Series statement
Atlantis Studies in Dynamical Systems
Series volume
3
http://library.link/vocab/subjectName
  • Mathematics
  • Dynamics
  • Ergodic theory
  • Mathematical physics
Label
Lyapunov Exponents of Linear Cocycles : Continuity via Large Deviations, by Pedro Duarte, Silvius Klein, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.2991/978-94-6239-124-6
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
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
Control code
978-94-6239-124-6
Dimensions
unknown
Edition
1st ed. 2016.
Extent
1 online resource (xiii, 263 pages)
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9789462391246
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.2991/978-94-6239-124-6
Other physical details
4 illustrations.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)945445122
Label
Lyapunov Exponents of Linear Cocycles : Continuity via Large Deviations, by Pedro Duarte, Silvius Klein, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.2991/978-94-6239-124-6
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
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
Control code
978-94-6239-124-6
Dimensions
unknown
Edition
1st ed. 2016.
Extent
1 online resource (xiii, 263 pages)
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9789462391246
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.2991/978-94-6239-124-6
Other physical details
4 illustrations.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)945445122

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