arXiv 1409.81672014-09math.DS

On Hoelder-continuity of Oseledets subspaces

Vitor Araujo, Alexander I. Bufetov, Simion Filip

备注：: 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)
发表信息：: Journal of the London Mathematical Society, v. 93, p. 194-218, 2016
DOI：: 10.1112/jlms/jdv057

英文摘要：

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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