On coding with Feller contractive Markov systems
Dynamical Systems
2012-12-11 v7 Probability
Abstract
We continue development of the theory of contractive Markov systems initiated in \cite{Wer1}. In this paper, we construct the coding map for Feller contractive Markov systems. This allows us to prove a generalization of Ledrappier's Theorem \cite{Le} and to show the existence of observable invariant measures for Feller contractive Markov system.
Keywords
Cite
@article{arxiv.math/0506476,
title = {On coding with Feller contractive Markov systems},
author = {Ivan Werner},
journal= {arXiv preprint arXiv:math/0506476},
year = {2012}
}
Comments
This paper is withdrawn by the author, as some of the results in it are based on a wrong argument, and it has been overwritten in [I. Werner, Equilibrium states and invariant measures for random dynamical systems, arXiv:1203.6432]