Limit theorems for monolayer ballistic deposition in the continuum

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dc.creatorPenrose, Mathew D.
dc.date2001-06-08
dc.date.accessioned2026-07-07T02:41:42Z
dc.date.available2026-07-07T02:41:42Z
dc.descriptionWe consider a deposition model in which balls rain down at random towards a 2-dimensional surface, roll downwards over existing adsorbed balls, are adsorbed if they reach the surface, and discarded if not. We prove a spatial law of large numbers and central limit theorem for the ultimate number of balls adsorbed onto a large toroidal surface, and also for the number of balls adsorbed on the restriction to a large region of an infinite surface.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/cond-mat/0106163
dc.identifierhttp://arxiv.org/abs/cond-mat/0106163
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/17846
dc.subjectStatistical Mechanics
dc.subjectProbability
dc.titleLimit theorems for monolayer ballistic deposition in the continuum
dc.typetext

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