Existence and spatial limit theorems for lattice and continuum particle systems

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dc.creatorPenrose, Mathew D.
dc.date2007-03-02
dc.date2008-04-04
dc.date.accessioned2026-07-07T09:30:11Z
dc.date.available2026-07-07T09:30:11Z
dc.descriptionWe give a general existence result for interacting particle systems with local interactions and bounded jump rates but noncompact state space at each site. We allow for jump events at a site that affect the state of its neighbours. We give a law of large numbers and functional central limit theorem for additive set functions taken over an increasing family of subcubes of $Z^d$. We discuss application to marked spatial point processes with births, deaths and jumps of particles, in particular examples such as continuum and lattice ballistic deposition and a sequential model for random loose sphere packing.
dc.descriptionPublished in at http://dx.doi.org/10.1214/07-PS112 the Probability Surveys (http://www.i-journals.org/ps/) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/math/0703072
dc.identifierhttp://arxiv.org/abs/math/0703072
dc.identifierProbability Surveys 2008, Vol. 5, 1-36
dc.identifierdoi:10.1214/07-PS112
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158048
dc.subjectProbability
dc.subject60K35, 60F17 (Primary)
dc.titleExistence and spatial limit theorems for lattice and continuum particle systems
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