On coding with Feller contractive Markov systems

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.

This paper is withdrawn by the author, as some of the results in it are based on a wrong argument, and it has been overwritten in [I. Werner, Equilibrium states and invariant measures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]