English

A Note on the Continuity of Oseledets Subspaces for Fiber-Bunched Cocycles

Dynamical Systems 2015-08-07 v1

Abstract

We prove that restricted to the subset of fiber-bunched elements of the space of GL(2,R)GL(2,\mathbb{R})-valued cocycles Oseledets subspaces vary continuously, in measure, with respect to the cocycle.

Keywords

Cite

@article{arxiv.1508.01495,
  title  = {A Note on the Continuity of Oseledets Subspaces for Fiber-Bunched Cocycles},
  author = {Lucas Backes},
  journal= {arXiv preprint arXiv:1508.01495},
  year   = {2015}
}