On Hoelder-continuity of Oseledets subspaces - Archive ouverte HAL
Article Dans Une Revue Journal of the London Mathematical Society Année : 2016

On Hoelder-continuity of Oseledets subspaces

Résumé

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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Dates et versions

hal-01256046 , version 1 (19-01-2016)

Identifiants

Citer

Vítor Araújo, Alexander I. Bufetov, Simion Filip, Vitor Araujo. On Hoelder-continuity of Oseledets subspaces. Journal of the London Mathematical Society, 2016, 93 (1), pp.194 - 218. ⟨10.1112/jlms/jdv057⟩. ⟨hal-01256046⟩
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