Brunet-Derrida behavior of branching-selection particle systems on the line
type: Item
instance of: scholarly article
title: Brunet-Derrida behavior of branching-selection particle systems on the line
zbMATH Open document ID: 1247.60124
author: Jean Bérard
author: Jean-Baptiste Gouéré
published in: Communications in Mathematical Physics
publication date: 2010-10-04T00:00:00Z
full work available at URL: https://arxiv.org/abs/0811.2782
review text: The authors consider a class of branching-selection particle systems on \(R\) similar to the one considered by \textit{E. Brunet} and \textit{B. Derrida} [Computer Phys. Commun. 121--122, 376--381 (1999)] and give a rigorous mathematical proof that as the population size \(N\) of the particle system goes to infinity, the asymptotic velocity of the system converges to a limiting value at the unexpectedly slow rate \( (\log N)^{-2}\).
Mathematics Subject Classification ID: 60J80
Mathematics Subject Classification ID: 82C31
zbMATH DE Number: 5795130
zbMATH Keywords: Brunet-Derrida behavior
zbMATH Keywords: branching-selection particle systems
reviewed by: Nasir N. Ganikhodjaev
MaRDI profile type: Publication
OpenAlex ID: W2592832780
arXiv ID: 0811.2782
cites work: Q5674726
cites work: Effect of microscopic noise on front propagation
cites work: On travelling waves for the stochastic Fisher-Kolmogorov-Petrovsky-Piscunov equation
cites work: The survival probability of a branching random walk in presence of an absorbing wall
cites work: The critical wave speed for the Fisher–Kolmogorov–Petrowskii–Piscounov equation with cut-off
cites work: Probability
cites work: Asymptotics for the survival probability in a killed branching random walk
cites work: Q5505760
cites work: Effect of noise on front propagation in reaction-diffusion equations of KPP type
cites work: Search cost for a nearly optimal path in a binary tree
cites work: Quasi-stationary regime of a branching random walk in presence of an absorbing wall
DOI: 10.1007/S00220-010-1067-Y
description: scientific article