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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Spiders in random environment

Author(s):
Gallesco, Christophe [1] ; Mueller, Sebastian [2] ; Popov, Serguei [3] ; Vachkovskaia, Marina [3]
Total Authors: 4
Affiliation:
[1] Univ Sao Paulo, Inst Math & Stat, BR-05508090 Sao Paulo - Brazil
[2] Univ Provence, LATP CMI, F-13453 Marseille 13 - France
[3] Univ Campinas UNICAMP, Inst Math Stat & Sci Computat, Dept Stat, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 3
Document type: Journal article
Source: ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS; v. 8, p. 129-147, 2011.
Web of Science Citations: 4
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. (AU)

FAPESP's process: 09/08665-6 - Random walks on trees and branching random walks
Grantee:Serguei Popov
Support Opportunities: Regular Research Grants