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Type: Artigo de periódico
Title: Spiders in random environment
Author: Gallesco, C
Muller, S
Popov, S
Vachkovskaia, M
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.
Subject: spider
random walk in random environment
Country: Brasil
Editor: Impa
Citation: Alea-latin American Journal Of Probability And Mathematical Statistics. Impa, v. 8, n. 129, n. 147, 2011.
Rights: aberto
Date Issue: 2011
Appears in Collections:Unicamp - Artigos e Outros Documentos

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