L773:0091 1798
Search: L773:0091 1798 > To fixate or not to...
- 3 of 57
- Previous record
- Next record
- To hitlist
To fixate or not to fixate in two-type annihilating branching random walks
-
- Ahlberg, Daniel (author)
- Stockholms universitet,Matematiska institutionen,Stockholm Univ, Dept Math, Stockholm, Sweden.
-
- Griffiths, Simon (author)
- Pontificia Univ Catolica Rio de Janeiro, Dept Matemat, Rio de Janeiro, Brazil.
-
- Janson, Svante, 1955- (author)
- Uppsala universitet,Analys och sannolikhetsteori,Uppsala Univ, Dept Math, Uppsala, Sweden.
- (creator_code:org_t)
- Institute of Mathematical Statistics, 2021
- 2021
- English.
- In: Annals of Probability. - : Institute of Mathematical Statistics. - 0091-1798 .- 2168-894X. ; 49:5, s. 2637-2667
- Journal article (peer-reviewed)
Abstract
Subject headings
Close
- We study a model of competition between two types evolving as branching random walks on Z(d). The two types are represented by red and blue balls, respectively, with the rule that balls of different colour annihilate upon contact. We consider initial configurations in which the sites of Z(d) contain one ball each which are independently coloured red with probability p and blue otherwise. We address the question of fixation, referring to the sites and eventually settling for a given colour or not. Under a mild moment condition on the branching rule, we prove that the process will fixate almost surely for p not equal 1/2 and that every site will change colour infinitely often almost surely for the balanced initial condition p = 1/2.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Probability Theory and Statistics (hsv//eng)
Keyword
- Branching random walk
- competing growth
- nonequilibrium dynamics
Publication and Content Type
- ref (subject category)
- art (subject category)
Find in a library
- Annals of Probability (Search for host publication in LIBRIS)
To the university's database
- 3 of 57
- Previous record
- Next record
- To hitlist
Find more in SwePub
- By the author/editor
- Ahlberg, Daniel
- Griffiths, Simon
- Janson, Svante, ...
- About the subject
-
- NATURAL SCIENCES
- NATURAL SCIENCES
- and Mathematics
-
- NATURAL SCIENCES
- NATURAL SCIENCES
- and Mathematics
- and Probability Theo ...
- Articles in the publication
- Annals of Probab ...
- By the university
- Stockholm University
- Uppsala University
Search outside SwePub
- Extend your search to:
- Google Book Search
- Google Scholar
Kungliga biblioteket hanterar dina personuppgifter i enlighet med EU:s dataskyddsförordning (2018), GDPR. Läs mer om hur det funkar här.
Så här hanterar KB dina uppgifter vid användning av denna tjänst.
- Copyright © LIBRIS - National Library Systems
- LIBRIS.kb.se
