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arXiv · 1409.8167

On Hoelder-continuity of Oseledets subspaces

Vitor Araujo·Alexander I. Bufetov·Simion Filip
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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.

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Vitor Araujo, Alexander I. Bufetov, Simion Filip. 2016-01-29. On Hoelder-continuity of Oseledets subspaces. https://doi.org/10.1112/jlms%2Fjdv057

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