%0 Journal Article
%T On Hoelder-continuity of Oseledets subspaces
%+ Universidade Federal da Bahia (UFBA)
%+ Institut de Mathématiques de Marseille (I2M)
%+ Steklov Mathematical Institute [Moscow] (SMI | RAS)
%+ Institute for Information Transmission Problems
%+ Vysšaja škola èkonomiki = National Research University Higher School of Economics [Moscow] (HSE)
%+ Institute for Advanced Study [Princeton] (IAS)
%A Araújo, Vítor
%A Bufetov, Alexander I.
%A Filip, Simion
%A Araujo, Vitor
%Z CNPq, FAPERJ and PRONEX (Brazil)
%Z Grant MD-2859.2014.1 of the President of the Russian Federation
%Z a subsidy granted to the HSE by the Government of the Russian Federation for the implementation of the Global Competitiveness Program
%Z RFBR grant 13-01-12449
%Z the Programme ‘Dynamical systems and ergodic theory’ of the Presidium of the Russian Academy of Sciences
%Z 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)
%< avec comité de lecture
%@ 0024-6107
%J Journal of the London Mathematical Society
%I London Mathematical Society ; Wiley
%V 93
%N 1
%P 194 - 218
%8 2016-02
%D 2016
%Z 1409.8167
%R 10.1112/jlms/jdv057
%K TEICHMULLER FLOW
%Z Mathematics [math]/Dynamical Systems [math.DS]Journal articles
%X 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.
%G English
%2 https://hal.science/hal-01256046/document
%2 https://hal.science/hal-01256046/file/Oseledets%20subspaces.pdf
%L hal-01256046
%U https://hal.science/hal-01256046
%~ CNRS
%~ UNIV-AMU
%~ EC-MARSEILLE
%~ I2M
%~ I2M-2014-
%~ TDS-MACS
%~ CERCLE
%~ AMIDEX
%~ ANR