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Kolmogorov-Sinai entropy of a generalized Markov shift | | Ivan Werner
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17 Feb 2005 | | Subject: | Dynamical Systems; Probability MSC-class: 54C70, 37M25, 60J05 | math.DS math.PR | | Abstract: | In this paper we calculate Kolmogorov-Sinai entropy $h_M(S)$ of the generalized Markov shift associated with a contractive Markov system (CMS) cite{Wer1} using the coding map constructed in cite{Wer3}. We show that [h_M(S)=-sumlimits_{ein E}intlimits_{K_{i(e)}} p_elog p_edmuwhere $mu$ is a unique invariant Borel probability measure of the CMS. I. Werner, Contractive Markov systems, J. London Math. Soc. (2005) 236-258. I. Werner, Coding map for a contractive Markov system, Math. Proc. Camb. Phil. Soc. to appear 140 (2), March 2006. | | Source: | arXiv, math.DS/0502389 | | Services: | Forum | Review | PDF | Favorites | |
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