A central limit theorem for Gibbs measures relative to Brownian motion

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dc.creatorBetz, Volker
dc.creatorSpohn, Herbert
dc.date2003-08-20
dc.date.accessioned2026-07-07T05:00:31Z
dc.date.available2026-07-07T05:00:31Z
dc.descriptionWe study a Gibbs measure over Brownian motion with a pair potential which depends only on the increments. Assuming a particular form of this pair potential, we establish that in the infinite volume limit the Gibbs measure can be viewed as Brownian motion moving in a dynamic random environment. Thereby we are in a position to use the technique of Kipnis and Varadhan and to prove a functional central limit theorem.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/math/0308193
dc.identifierhttp://arxiv.org/abs/math/0308193
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68353
dc.subjectProbability
dc.subjectMathematical Physics
dc.subject60F17
dc.titleA central limit theorem for Gibbs measures relative to Brownian motion
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