On coding with Feller contractive Markov systems

Ivan Werner

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On coding with Feller contractive Markov systems

Ivan Werner

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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.

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Ivan Werner. 2012-12-10. On coding with Feller contractive Markov systems. https://arxiv.org/abs/math/0506476

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