Generic linear cocycles over a minimal base

Jairo Bochi. "Generic linear cocycles over a minimal base." Studia Mathematica 218.2 (2013): 167-188. <http://eudml.org/doc/285808>.

@article{JairoBochi2013,
abstract = {We prove that a generic linear cocycle over a minimal base dynamics of finite dimension has the property that the Oseledets splitting with respect to any invariant probability coincides almost everywhere with the finest dominated splitting. Therefore the restriction of the generic cocycle to a subbundle of the finest dominated splitting is uniformly subexponentially quasiconformal. This extends a previous result for SL(2,ℝ)-cocycles due to Avila and the author.},
author = {Jairo Bochi},
journal = {Studia Mathematica},
keywords = {linear cocycles; minimality; Lyapunov exponents; dominated splittings},
language = {eng},
number = {2},
pages = {167-188},
title = {Generic linear cocycles over a minimal base},
url = {http://eudml.org/doc/285808},
volume = {218},
year = {2013},
}

TY - JOUR
AU - Jairo Bochi
TI - Generic linear cocycles over a minimal base
JO - Studia Mathematica
PY - 2013
VL - 218
IS - 2
SP - 167
EP - 188
AB - We prove that a generic linear cocycle over a minimal base dynamics of finite dimension has the property that the Oseledets splitting with respect to any invariant probability coincides almost everywhere with the finest dominated splitting. Therefore the restriction of the generic cocycle to a subbundle of the finest dominated splitting is uniformly subexponentially quasiconformal. This extends a previous result for SL(2,ℝ)-cocycles due to Avila and the author.
LA - eng
KW - linear cocycles; minimality; Lyapunov exponents; dominated splittings
UR - http://eudml.org/doc/285808
ER -