A functional central limit theorem for interacting particle systems on transitive graphs

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dc.creatorDoukhan, Paul
dc.creatorLang, Gabriel
dc.creatorLouhichi, Sana
dc.creatorYcart, Bernard
dc.date2005-09-19
dc.date2007-04-12
dc.date.accessioned2026-07-07T07:56:15Z
dc.date.available2026-07-07T07:56:15Z
dc.descriptionA finite range interacting particle system on a transitive graph is considered. Assuming that the dynamics and the initial measure are invariant, the normalized empirical distribution process converges in distribution to a centered diffusion process. As an application, a central limit theorem for certain hitting times, interpreted as failure times of a coherent system in reliability, is derived.
dc.description35 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0509041
dc.identifierhttp://arxiv.org/abs/math-ph/0509041
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127238
dc.subjectMathematical Physics
dc.subjectProbability
dc.titleA functional central limit theorem for interacting particle systems on transitive graphs
dc.typetext

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