Stochastic stability of Lyapunov exponents and Oseledets splittings for semi-invertible matrix cocycles

Froyland, Gary, Gonzalez-Tokman, Cecilia and Quas, Anthony (2015) Stochastic stability of Lyapunov exponents and Oseledets splittings for semi-invertible matrix cocycles. Communications on Pure and Applied Mathematics, 68 11: 2052-2081. doi:10.1002/cpa.21569


Author Froyland, Gary
Gonzalez-Tokman, Cecilia
Quas, Anthony
Title Stochastic stability of Lyapunov exponents and Oseledets splittings for semi-invertible matrix cocycles
Journal name Communications on Pure and Applied Mathematics   Check publisher's open access policy
ISSN 1097-0312
0010-3640
Publication date 2015-01-01
Year available 2015
Sub-type Article (original research)
DOI 10.1002/cpa.21569
Open Access Status Not Open Access
Volume 68
Issue 11
Start page 2052
End page 2081
Total pages 30
Place of publication Hoboken, NJ, United States
Publisher John Wiley & Sons
Language eng
Abstract We establish (i) stability of Lyapunov exponents and (ii) convergence in probability of Oseledets spaces for semi-invertible matrix cocycles subjected to small random perturbations. The first part extends results of Ledrappier and Young to the semi-invertible setting. The second part relies on the study of evolution of subspaces in the Grassmannian; the analysis developed here is based on higher-dimensional Möbius transformations and is likely to be of wider interest.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Non HERDC
 
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Created: Thu, 30 Apr 2015, 01:12:00 EST by Kay Mackie on behalf of School of Mathematics & Physics