Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 4, pp. 985-993
Citer cet article
L. G. Afanas'eva; E. M. Ginzburg. On ergodicity of a system with two types of interacting particles. Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 4, pp. 985-993. http://geodesic.mathdoc.fr/item/FPM_2000_6_4_a2/
@article{FPM_2000_6_4_a2,
author = {L. G. Afanas'eva and E. M. Ginzburg},
title = {On ergodicity of a~system with two types of interacting particles},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {985--993},
year = {2000},
volume = {6},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2000_6_4_a2/}
}
TY - JOUR
AU - L. G. Afanas'eva
AU - E. M. Ginzburg
TI - On ergodicity of a system with two types of interacting particles
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 2000
SP - 985
EP - 993
VL - 6
IS - 4
UR - http://geodesic.mathdoc.fr/item/FPM_2000_6_4_a2/
LA - ru
ID - FPM_2000_6_4_a2
ER -
%0 Journal Article
%A L. G. Afanas'eva
%A E. M. Ginzburg
%T On ergodicity of a system with two types of interacting particles
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2000
%P 985-993
%V 6
%N 4
%U http://geodesic.mathdoc.fr/item/FPM_2000_6_4_a2/
%G ru
%F FPM_2000_6_4_a2
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 $V$ 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.
