This article is cited in 7 papers

Markov Processes over Denumerable Products of Spaces, Describing Large Systems of Automata

L. N. Vaserstein


Abstract: A criterion is obtained for the uniqueness of the stationary probabilities of a Markov operator. This criterion is useful for operators related to homogeneous automata games. Similar methods are applicable to certain problems in statistical physics, biology, etc.

UDC: 519.21

Received: 24.02.1969

 English version: Problems of Information Transmission, 1969, 5:3, 47–52

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