We discuss recent results on decay of correlations for non-uniformly
expanding maps. Throughout the discussion, we address the question of why
different dynamical systems have different rates of decay of correlations and
how this may reflect underlying geometrical characteristics of the system.
@article{0301319,
author = {Luzzatto, Stefano},
title = {Mixing and decay of correlations in non-uniformly expanding maps: a
survey of recent results},
journal = {arXiv},
volume = {2003},
number = {0},
year = {2003},
language = {en},
url = {http://dml.mathdoc.fr/item/0301319}
}
Luzzatto, Stefano. Mixing and decay of correlations in non-uniformly expanding maps: a
survey of recent results. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0301319/