On the Generalization of the GMS Evolutionary Model
Michael, S. and Volkov, Stanislav LU
(2012)
In Markov Processes and Related Fields
18(2).
p.311-322
- Abstract
- We study a generalization of the evolution model proposed by Guiol, Machado and Schinazi [4]. In our model, at each moment of time a random number of species is either born or removed from the system; the species to be removed are those with the lower fitnesses, fitnesses being some numbers in [0, 1]. We show that under appropriate conditions, a set of species approaches (in some sense) a sample from a uniform distribution on [f, 1], where f is an element of [0, 1), and that the total number of species forms a recurrent process in most other cases.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/3079765
- author
- Michael, S.
and Volkov, Stanislav
LU
- organization
- publishing date
- 2012
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Bak-Sneppen evolution model, interacting particle systems, random walk
- in
- Markov Processes and Related Fields
- volume
- 18
- issue
- 2
- pages
- 311 - 322
- publisher
- Polymat Ltd
- external identifiers
-
- wos:000306882700005
- ISSN
- 1024-2953
- language
- English
- LU publication?
- yes
- id
- b585feb0-1e0e-4722-b616-d60391673ac1 (old id 3079765)
- date added to LUP
- 2016-04-01 15:00:04
- date last changed
- 2019-05-08 02:15:29
@article{b585feb0-1e0e-4722-b616-d60391673ac1,
abstract = {{We study a generalization of the evolution model proposed by Guiol, Machado and Schinazi [4]. In our model, at each moment of time a random number of species is either born or removed from the system; the species to be removed are those with the lower fitnesses, fitnesses being some numbers in [0, 1]. We show that under appropriate conditions, a set of species approaches (in some sense) a sample from a uniform distribution on [f, 1], where f is an element of [0, 1), and that the total number of species forms a recurrent process in most other cases.}},
author = {{Michael, S. and Volkov, Stanislav}},
issn = {{1024-2953}},
keywords = {{Bak-Sneppen evolution model; interacting particle systems; random walk}},
language = {{eng}},
number = {{2}},
pages = {{311--322}},
publisher = {{Polymat Ltd}},
series = {{Markov Processes and Related Fields}},
title = {{On the Generalization of the GMS Evolutionary Model}},
volume = {{18}},
year = {{2012}},
}