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

2005/08/02 by Ivan Werner, Werner, Ivan
Computer Science · Earth and Planetary Sciences · Mathematics · #Aquatic and Environmental Studies #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Control Systems and Analysis #Probability (math.PR) #math.DS #math.PR

paper · pdf · doi:10.48550/arxiv.math/0508054

openalex publication_date 2005/08/02 · arxiv created 2005/08/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We continue the study of Markov systems started in \citeWer1. In this paper, we prove a generalization of Breiman's strong low of large numbers \citeBr which implies a necessary condition for the uniqueness of the stationary state of a Markov system.

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