Survival of nearest-particle systems with low birth rate
type: Item
instance of: scholarly article
title: Survival of nearest-particle systems with low birth rate
zbMATH Open document ID: 0682.60091
author: Maury Bramson
published in: The Annals of Probability
publication date: 1989-01-01T00:00:00Z
review text: Nearest particle systems on \({\mathbb{Z}}\) are constructed, for which the probability rates of birth of a particle between two nearest particles are \(1+\epsilon\) whereas the death rate of any particle is 1, and the system survives for all times. The proof is based on the comparison with a contact discrete-time process studied formerly by \textit{R. Durrett} [ibid. 12, 999-1040 (1984; Zbl 0567.60095)].
Mathematics Subject Classification ID: 60K35
zbMATH DE Number: 4117621
zbMATH Keywords: Nearest particle systems
reviewed by: Petr Holický
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aop/1176991409
OpenAlex ID: W2087542009
DOI: 10.1214/AOP/1176991409
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description: scientific article; zbMATH DE number 4117621