7 citations · 10 across the 3 of their papers we have counts for
3 papers
math.PR2005★ 1 cited
A necessary condition for the uniqueness of the stationary state of a Markov system
Ivan Werner
We continue the study of Markov systems started in \cite{Wer1}. In this paper, we prove a generalization of Breiman's strong low of large numbers \cite{Br} which implies a necessar…
math.DS2005★ 7 cited
The generalized Markov measure as an equilibrium state
Ivan Werner
In this paper, we continue development of the theory of contractive Markov systems (CMS) initiated in \cite{Wer1}. Also, this work can be seen as a small contribution to the theory…
math.DS2005★ 2 cited
Kolmogorov-Sinai entropy of a generalized Markov shift
Ivan Werner
In this paper we calculate Kolmogorov-Sinai entropy of the generalized Markov shift associated with a contractive Markov system (CMS) \cite{Wer1} using the coding map cons…