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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Last modified: February 13, 2001