A necessary condition for the uniqueness of the stationary state of a Markov system

Mathematics – Probability

Scientific paper

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Scientific paper

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 necessary condition for the uniqueness of the
stationary state of a Markov system.

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