Collision probability for random trajectories in two dimensions

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dc.creatorGaudilliere, A.
dc.date2007-03-22
dc.date.accessioned2026-07-07T07:53:16Z
dc.date.available2026-07-07T07:53:16Z
dc.descriptionWe give a lower bound for the non-collision probability up to a long time T in a system of n independent random walks with fixed obstacles on the two-dimensional lattice. By `collision' we mean collision between the random walks as well as collision with the fixed obstacles. We give an analogous result for Brownian particles on the plane. We also explain how this result can be used to describe in terms of "quasi random walks" a diluted gas evolving under Kawasaki dynamics or simple exclusion.
dc.description37 pages
dc.identifierhttps://arxiv.org/abs/math/0703671
dc.identifierhttp://arxiv.org/abs/math/0703671
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126189
dc.subjectProbability
dc.subject60J45, 82C20, 82C41
dc.titleCollision probability for random trajectories in two dimensions
dc.typetext

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