Long Term Behaviour of Locally Interacting Birth-and-Death Processes
Shcherbakov, Vadim and Volkov, Stanislav LU
(2015)
In Journal of Statistical Physics
158(1).
p.132-157
- Abstract
- In this paper we study long-term evolution of a finite system of locally interacting birth-and-death processes labelled by vertices of a finite connected graph. A detailed description of the asymptotic behaviour is obtained in the case of both constant vertex degree graphs and star graphs. The model is motivated by modelling interactions between populations, adsorption-desorption processes and is related to interacting particle systems, Gibbs models with unbounded spins, as well as urn models with interaction.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/5070033
- author
- Shcherbakov, Vadim
and Volkov, Stanislav
LU
- organization
- publishing date
- 2015
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Markov chain, Birth-and-death process, Gibbs measure, Reversibility, Recurrence, Transience, Explosion
- in
- Journal of Statistical Physics
- volume
- 158
- issue
- 1
- pages
- 132 - 157
- publisher
- Springer
- external identifiers
-
- wos:000347874500007
- scopus:84921938925
- ISSN
- 1572-9613
- DOI
- 10.1007/s10955-014-1122-8
- language
- English
- LU publication?
- yes
- id
- 3c612753-85e9-44d0-99b3-ae9a6fcaf3c9 (old id 5070033)
- date added to LUP
- 2016-04-01 14:52:47
- date last changed
- 2022-01-28 02:58:55
@article{3c612753-85e9-44d0-99b3-ae9a6fcaf3c9,
abstract = {{In this paper we study long-term evolution of a finite system of locally interacting birth-and-death processes labelled by vertices of a finite connected graph. A detailed description of the asymptotic behaviour is obtained in the case of both constant vertex degree graphs and star graphs. The model is motivated by modelling interactions between populations, adsorption-desorption processes and is related to interacting particle systems, Gibbs models with unbounded spins, as well as urn models with interaction.}},
author = {{Shcherbakov, Vadim and Volkov, Stanislav}},
issn = {{1572-9613}},
keywords = {{Markov chain; Birth-and-death process; Gibbs measure; Reversibility; Recurrence; Transience; Explosion}},
language = {{eng}},
number = {{1}},
pages = {{132--157}},
publisher = {{Springer}},
series = {{Journal of Statistical Physics}},
title = {{Long Term Behaviour of Locally Interacting Birth-and-Death Processes}},
url = {{http://dx.doi.org/10.1007/s10955-014-1122-8}},
doi = {{10.1007/s10955-014-1122-8}},
volume = {{158}},
year = {{2015}},
}