On slowdown and speedup of transient random walks in random environment
Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
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Data(s) |
20/10/2012
20/10/2012
2010
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Resumo |
We consider one-dimensional random walks in random environment which are transient to the right. Our main interest is in the study of the sub-ballistic regime, where at time n the particle is typically at a distance of order O(n (kappa) ) from the origin, kappa is an element of (0, 1). We investigate the probabilities of moderate deviations from this behaviour. Specifically, we are interested in quenched and annealed probabilities of slowdown (at time n, the particle is at a distance of order O (n (nu 0)) from the origin, nu(0) is an element of (0, kappa)), and speedup (at time n, the particle is at a distance of order n (nu 1) from the origin , nu(1) is an element of (kappa, 1)), for the current location of the particle and for the hitting times. Also, we study probabilities of backtracking: at time n, the particle is located around (-n (nu) ), thus making an unusual excursion to the left. For the slowdown, our results are valid in the ballistic case as well. FAPESP[04/07276-2] Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) CNPq[300328/2005-2] Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) CNPq[471925/2006-3] CAPES/DAAD DAAD Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) |
Identificador |
PROBABILITY THEORY AND RELATED FIELDS, v.147, n.1/Fev, p.43-88, 2010 0178-8051 http://producao.usp.br/handle/BDPI/30469 10.1007/s00440-009-0201-2 |
Idioma(s) |
eng |
Publicador |
SPRINGER |
Relação |
Probability Theory and Related Fields |
Direitos |
restrictedAccess Copyright SPRINGER |
Palavras-Chave | #Slowdown #Speedup #Moderate deviations #Transience #MODERATE DEVIATIONS #LIMIT LAW #Statistics & Probability |
Tipo |
article original article publishedVersion |