Advanced search
Start date
Betweenand
(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 type: Regular Research Grants