A Law of Large Numbers for an Interacting Particle System with Confining Potential

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dc.creatorOrtisi, Matteo
dc.date2007-01-03
dc.date.accessioned2026-07-07T07:38:13Z
dc.date.available2026-07-07T07:38:13Z
dc.descriptionIn this paper we consider an interacting particle system modeled as a system of $N$ stochastic differential equations driven by Brownian motions with a drift term including a confining potential acting on each particle, and an interaction potential modeling the interaction among all the particles of the system. The limiting behavior as the size $N$ grows to infinity is achieved as a law of large numbers for the empirical process associated with the interacting particle system
dc.description29 pages
dc.identifierhttps://arxiv.org/abs/math/0701095
dc.identifierhttp://arxiv.org/abs/math/0701095
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121045
dc.subjectProbability
dc.subject82C22
dc.titleA Law of Large Numbers for an Interacting Particle System with Confining Potential
dc.typetext

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