Kolmogorov-Sinai entropy of a generalized Markov shift
| dc.creator | Werner, Ivan | |
| dc.date | 2005-02-17 | |
| dc.date | 2005-05-30 | |
| dc.date.accessioned | 2026-07-07T05:17:08Z | |
| dc.date.available | 2026-07-07T05:17:08Z | |
| dc.description | 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 \[h_M(S)=-\sum\limits_{e\in E}\int\limits_{K_{i(e)}} p_e\log p_edμ\] where $μ$ 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. | |
| dc.identifier | https://arxiv.org/abs/math/0502389 | |
| dc.identifier | http://arxiv.org/abs/math/0502389 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74241 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Probability | |
| dc.subject | 54C70, 37M25, 60J05 | |
| dc.title | Kolmogorov-Sinai entropy of a generalized Markov shift | |
| dc.type | text |