Stochastic Stability of Lyapunov Exponents and Oseledets Splittings for Semi-invertible Matrix Cocycles

被引：10

作者：

Froyland, Gary ^{[1
]}

Gonzalez-Tokman, Cecilia ^{[1
]}

Quas, Anthony ^{[2
]}

机构：

[1] Univ New S Wales, Sch Math & Stat, Sydney, NSW 2052, Australia

[2] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada

来源：

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 2015年 / 68卷 / 11期

关键词：

INVARIANT DENSITIES; ISOLATED SPECTRUM; ALMOST-INVARIANT; OPERATOR; THEOREM; APPROXIMATION; SYSTEMS; MAPS; SETS;

D O I：

10.1002/cpa.21569

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 Mobius transformations and is likely to be of wider interest. (C) 2015 Wiley Periodicals, Inc.

引用

页码：2052 / 2081

页数：30

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