Exponential Decay of Correlations for Randomly Chosen Hyperbolic Toral Automorphisms
Dynamical Systems
2011-10-18 v1 Mathematical Physics
math.MP
Abstract
We consider pairs of toral automorphisms (A,B) satisfying an invariant cone property. At each iteration, A acts with probability p and B with probability 1-p. We prove exponential decay of correlations for a class of Holder continuous observables.
Keywords
Cite
@article{arxiv.0704.1495,
title = {Exponential Decay of Correlations for Randomly Chosen Hyperbolic Toral Automorphisms},
author = {Arvind Ayyer and Mikko Stenlund},
journal= {arXiv preprint arXiv:0704.1495},
year = {2011}
}
Comments
15 pages, 1 figure