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On Markov stochastic processes with local interaction for solving some applied problems. (English. Russian original) Zbl 1305.60102
Cybern. Syst. Anal. 47, No. 3, 346-359 (2011); translation from Kibern. Sist. Anal. 2011, No. 3, 15-32 (2011).
Summary: Some problems arising in solving various applied problems of economy, recognition, sociology, biology, and modeling of catastrophes are considered. Such problems can be solved using methods of the theory of Markov random processes with local interaction. General characteristics of such processes and a number of concrete applied problems that can be modelled with their help are given.

MSC:
60K35 Interacting random processes; statistical mechanics type models; percolation theory
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