Artículos de revistas
Spiders in random environment
Registro en:
Alea-latin American Journal Of Probability And Mathematical Statistics. Impa, v. 8, n. 129, n. 147, 2011.
1980-0436
WOS:000299489100007
Autor
Gallesco, C
Muller, S
Popov, S
Vachkovskaia, M
Institución
Resumen
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) 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. 8 129 147 Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) DFG [MU 2868/1-1] Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) FAPESP [2009/51139-3, 2009/08665-6] DFG [MU 2868/1-1] CNPq [300886/2008-0, 472431/2009-9, 304561/2006-1]