Kolmogorov-Sinai entropy of a generalized Markov shift

Details Kolmogorov-Sinai entropy of a generalized Markov shift Kolmogorov-Sinai entropy of a generalized Markov shift

2005-02-17

arxiv.org/abs/math/0502389v2

Mathematics

Dynamical Systems

Scientific paper

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 \[h_M(S)=-\sum\limits_{e\in E}\int\limits_{K_{i(e)}} p_e\log p_ed\mu\] where $\mu$ 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.

Affiliated with

Also associated with

No associations

Rating

Kolmogorov-Sinai entropy of a generalized Markov shift does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Kolmogorov-Sinai entropy of a generalized Markov shift, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Kolmogorov-Sinai entropy of a generalized Markov shift will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-388003