On coding with Feller contractive Markov systems

2005/06/23 by Ivan Werner, Werner, Ivan · 1 citation
Mathematics · #Markov Chains and Monte Carlo Methods #Mathematical Dynamics and Fractals #Stochastic processes and statistical mechanics #math.DS #math.PR #msc:28A80 #msc:37A50 #msc:37D35 #msc:37H99 #msc:60J05

paper · pdf · doi:10.48550/arxiv.math/0506476

This paper is withdrawn by the author, as some of the results in it are based on a wrong argument, and it has been overwritten in [I. Werner, Equilibrium states and invariant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

arxiv created 2012/12/10 · arxiv updated 2012/12/11

Abstract

We continue development of the theory of contractive Markov systems initiated in \citeWer1. In this paper, we construct the coding map for Feller contractive Markov systems. This allows us to prove a generalization of Ledrappier's Theorem \citeLe and to show the existence of observable invariant measures for Feller contractive Markov system.

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• Fundamental Markov systems

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