Continuity of Lyapunov Exponents for Random 2D Matrices
Dynamical Systems
2010-12-07 v1
Abstract
The Lyapunov exponents of locally constant GL(2;C)-cocycles over Bernoulli shifts depend continuously on the cocycle and on the invariant probability. The Oseledets decomposition also depends continuously on the cocycle, in measure.
Keywords
Cite
@article{arxiv.1012.0872,
title = {Continuity of Lyapunov Exponents for Random 2D Matrices},
author = {Carlos Bocker-Neto and Marcelo Viana},
journal= {arXiv preprint arXiv:1012.0872},
year = {2010}
}