Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/72163
Type: Artigo
Title: Spiders in random environment
Author: Gallesco, Christophe
Muller, Sebastian
Popov, Serguei
Vachkovskaia, Marina
Abstract: A spider consists of several, say N, particles. Particles can jump independently according to a random walk if the movement does not violate some given restriction rules. If the movement violates a rule it is not carried out. We consider random walk in random environment (RWRE) on Z as underlying random walk. We suppose the environment omega = (omega(x))(x is an element of Z) to be elliptic, with positive drift and nestling, so that there exists a unique positive constant kappa such that E[((1 - omega(0))/omega(0))(kappa)] = 1. The restriction rules are kept very general; we only assume transitivity and irreducibility of the spider. The main result is that the speed of a spider is positive if kappa/N > 1 and null if kappa/N < 1. In particular, if kappa/N < 1 a spider has null speed but the speed of a (single) RWRE is positive.
A spider consists of several, say N, particles. Particles can jump independently according to a random walk if the movement does not violate some given restriction rules. If the movement violates a rule it is not carried out. We consider random walk in ra
Subject: Passeios aleatórios (Matemática)
Probabilidades
Country: Estados Unidos
Editor: American Institute of Mathematical Sciences
Citation: Alea-latin American Journal Of Probability And Mathematical Statistics. Impa, v. 8, n. 129, n. 147, 2011.
Rights: Aberto
Identifier DOI: 0
Address: http://alea.impa.br/english/index_v8.htm
Date Issue: 2011
Appears in Collections:IMECC - Artigos e Outros Documentos

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