eprintid: 13299
rev_number: 18
eprint_status: archive
userid: 3588
dir: disk0/00/01/32/99
datestamp: 2014-10-23 09:32:56
lastmod: 2023-02-16 11:05:30
status_changed: 2014-10-23 09:32:56
type: article
metadata_visibility: show
title: Stationary Distribution of Random Motion with Delay in
Reflecting Boundaries
language: english
abstract: In this paper we study a continuous time random walk in the line with two boundaries [a,b], a < b. The particle
can move in any of two directions with different velocities v1 and v2. We consider a special type of
boundary which can trap the particle for a random time. We found closed-form expressions for the stationary
distribution of the position of the particle not only for the alternating Markov process but also for a broad
class of semi-Markov processes.
creators_name: Pogorui, A. A.
creators_name: Rodríguez-Dagnіno, Ramón М.
ispublished: pub
subjects: QA77
divisions: sch_man
full_text_status: public
date: 2010-05
publication: Applied Mathematics
volume: 1
number: 1
pagerange: 24-29
refereed: TRUE
issn: 2152-7385
citation:   Pogorui, A. A., Rodríguez-Dagnіno, Ramón М.  (2010) Stationary Distribution of Random Motion with Delay in Reflecting Boundaries.  Applied Mathematics, 1 (1).  с. 24-29.  ISSN 2152-7385     
document_url: http://eprints.zu.edu.ua/13299/1/AM_01_01_Content_2010111802444728.pdf