On random topological Markov chains with big images and preimages
Dynamical Systems
2013-12-30 v3 Probability
Abstract
We introduce a relative notion of the 'big images and preimages'-property for random topological Markov chains. This then implies that a relative version of the Ruelle-Perron-Frobenius theorem holds with respect to summable and locally Hoelder continuous potentials.
Cite
@article{arxiv.0904.4630,
title = {On random topological Markov chains with big images and preimages},
author = {Manuel Stadlbauer},
journal= {arXiv preprint arXiv:0904.4630},
year = {2013}
}
Comments
Corrected and extended version of the article published in Stochastics and Dynamics 2010