This article is cited in 1 paper

Large Systems

A Markov Process with Local Interaction

L. G. Mityushin


Abstract: A stochastic system consisting of locally interacting components subjected to irreversible transformations is analyzed. It is shown that the distribution function of the states of the system at each instant has with respect to the spatial parameter a certain analog of the Markov property.

UDC: 519.27

Received: 29.07.1971
Revised: 18.09.1972

 English version: Problems of Information Transmission, 1973, 9:2, 149–152

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