| Author(s): |
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: | 09/51139-3 - Aranhas moleculares sobre grafos e passeios aleatorios em meio aleatorio |
| Grantee: | Christophe Frédéric Gallesco |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 09/08665-6 - Random walks on trees and branching random walks |
| Grantee: | Serguei Popov |
| Support Opportunities: | Regular Research Grants |