FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2000, VOLUME 6, NUMBER 4, PAGES 985-993

On ergodicity of a system with two types of interacting particles

L. G. Afanassieva
E. M. Ginzburg

Abstract

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A system with two types of particles placed in $N$ cells is considered. The first type particles arrive at the system in accordance with a Poisson process. There are $V<N$ particles of the second type in the system, which destroy the first type particles. The ergodicity condition for the Markov chain which describes the behaviour of the system is proved.

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