On Hoelder-continuity of Oseledets subspaces
Dynamical Systems
2016-07-12 v4
Abstract
For Hoelder cocycles over a Lipschitz base transformation, possibly non-invertible, we show that the subbundles given by the Oseledets Theorem are Hoelder-continuous on compact sets of measure arbitrarily close to 1. The results extend to vector bundle automorphisms, as well as to the Kontsevich-Zorich cocycle over the Teichmueller flow on the moduli space of abelian differentials. Following a recent result of Chaika-Eskin, our results also extend to any given Teichmueller disk.
Cite
@article{arxiv.1409.8167,
title = {On Hoelder-continuity of Oseledets subspaces},
author = {Vitor Araujo and Alexander I. Bufetov and Simion Filip},
journal= {arXiv preprint arXiv:1409.8167},
year = {2016}
}
Comments
29 pages; corrected a few typos and added several references and comments following referee suggestions (this is the final version content to appear in JLMS)