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JOURNALS // Theory of Stochastic Processes // Archive

Theory Stoch. Process., 2007 Volume 13(29), Issue 3, Pages 80–95 (Mi thsp231)

Homogeneous Markov chains in compact spaces

Anatoly V. Skorokhod

Institute of Mathematics, Kyiv, Ukraine and Michigan State University, USA

Abstract: For homogeneous Markov chains in a compact and locally compact spaces, the ergodic properties are investigated, using the notions of topological recurrence and connections

Keywords: Markov chain, topologically recurrent state, topologically connected states, invariant measure.

MSC: 60J10

Language: English



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