Symbolic extensions for nonuniformly entropy expanding maps

@article{DavidBurguet2010,
abstract = {A nonuniformly entropy expanding map is any ¹ map defined on a compact manifold whose ergodic measures with positive entropy have only nonnegative Lyapunov exponents. We prove that a $^\{r\}$ nonuniformly entropy expanding map T with r > 1 has a symbolic extension and we give an explicit upper bound of the symbolic extension entropy in terms of the positive Lyapunov exponents by following the approach of T. Downarowicz and A. Maass [Invent. Math. 176 (2009)].},
author = {David Burguet},
journal = {Colloquium Mathematicae},
keywords = {symbolic extension; symbolic extension entropy; nonuniformly entropy expanding map; Lyapunov exponents, ergodic measures; entropy structure; Ruelle's inequality},
language = {eng},
number = {1},
pages = {129-151},
title = {Symbolic extensions for nonuniformly entropy expanding maps},
url = {http://eudml.org/doc/286219},
volume = {121},
year = {2010},
}

TY - JOUR
AU - David Burguet
TI - Symbolic extensions for nonuniformly entropy expanding maps
JO - Colloquium Mathematicae
PY - 2010
VL - 121
IS - 1
SP - 129
EP - 151
AB - A nonuniformly entropy expanding map is any ¹ map defined on a compact manifold whose ergodic measures with positive entropy have only nonnegative Lyapunov exponents. We prove that a $^{r}$ nonuniformly entropy expanding map T with r > 1 has a symbolic extension and we give an explicit upper bound of the symbolic extension entropy in terms of the positive Lyapunov exponents by following the approach of T. Downarowicz and A. Maass [Invent. Math. 176 (2009)].
LA - eng
KW - symbolic extension; symbolic extension entropy; nonuniformly entropy expanding map; Lyapunov exponents, ergodic measures; entropy structure; Ruelle's inequality
UR - http://eudml.org/doc/286219
ER -