relation: http://eprints.zu.edu.ua/13316/
title: System of interacting particles with Markovian switching
creator: Pogoruі, А. А.
subject: Mathematical Analysis
description: Most of the published articles on random motions have been devoted to the study  of the telegraph process or its generalizations that describe the random motion of a  single particle in Rn in a Markov or semi-Markov medium. However, up to our best  knowledge, there are no published papers dealing with the interaction of two or more  particles which move according to the telegraph processes. In this paper, we construct  the system of telegraph processes with interactions, which can be interpreted as a  model of ideal gas. In this model, we investigate the free path times of a family  of particles, before they are collided with any other particle. We also study the  distribution of particles, which is described by telegraph processes with hard collisions  and re  ecting boundaries, and investigate its limiting properties.
date: 2012
type: Article
type: PeerReviewed
format: text
language: uk
identifier: http://eprints.zu.edu.ua/13316/1/art1820_09.pdf
identifier:   Pogoruі, А. А.  (2012) System of interacting particles with Markovian switching.  Theory of Stochastic Processes, 18 (34).  pp. 83-95.      
language: english