Existence of Gibbs measures relative to Brownian motion

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dc.creatorBetz, Volker
dc.date2001-07-25
dc.date.accessioned2026-07-07T04:42:44Z
dc.date.available2026-07-07T04:42:44Z
dc.descriptionWe prove existence of infinite volume Gibbs measures relative to Brownian motion. We require the pair potential W to fulfill a uniform integrability condition, but otherwise our restrictions on the potentials are relatively weak. In particular, our results are applicable to the massless Nelson model. We also prove an upper bound for path fluctuations under the infinite volume Gibbs measures.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/math/0107184
dc.identifierhttp://arxiv.org/abs/math/0107184
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61906
dc.subjectProbability
dc.subject60G10, 82B99
dc.titleExistence of Gibbs measures relative to Brownian motion
dc.typetext

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