On statistical properties for equilibrium states of partially hyperbolic horseshoes
Dynamical Systems
2016-04-15 v1
Abstract
We derive some statistical properties for equilibrium states of partially hyperbolic horseshoes. We define a projection map associated to the horseshoe and prove a spectral gap for its transfer operator acting on the space of H\"older continuous observables. From this we deduce an exponential decay of correlations and a central limit theorem. We finally extend these results to the horseshoe.
Keywords
Cite
@article{arxiv.1604.04156,
title = {On statistical properties for equilibrium states of partially hyperbolic horseshoes},
author = {Vanessa Ramos and Jaqueline Siqueira},
journal= {arXiv preprint arXiv:1604.04156},
year = {2016}
}
Comments
20 pages, 6 figures