Random walk delayed on percolation clusters

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dc.creatorComets, Francis
dc.creatorSimenhaus, Francois
dc.date2007-10-11
dc.date.accessioned2026-07-07T08:35:47Z
dc.date.available2026-07-07T08:35:47Z
dc.descriptionWe study a continuous time random walk on the $d$-dimensional lattice, subject to a drift and an attraction to large clusters of a subcritical Bernoulli site percolation. We find two distinct regimes: a ballistic one, and a subballistic one taking place when the attraction is strong enough. We identify the speed in the former case, and the algebraic rate of escape in the latter case. Finally, we discuss the diffusive behavior in the case of zero drift and weak attraction.
dc.identifierhttps://arxiv.org/abs/0710.2320
dc.identifierhttp://arxiv.org/abs/0710.2320
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139856
dc.subjectProbability
dc.subject60K37
dc.titleRandom walk delayed on percolation clusters
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