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Infinite system of Brownian balls : equilibrium measures are canonical Gibbs

We consider a system of infinitely many hard balls in R<sup>d</sup> undergoing Brownian motions and submitted to a smooth pair potential. It is modelized by an infinite-dimensional stochastic differential equation with a local time term. We prove that the set of all equilibrium measures, solution of a detailed balance equation, coincides with the set of canonical Gibbs measures associated to the hard core potential added to the smooth interaction potential.

Identiferoai:union.ndltd.org:Potsdam/oai:kobv.de-opus-ubp:672
Date January 2006
CreatorsRoelly, Sylvie, Fradon, Myriam
PublisherUniversität Potsdam, Mathematisch-Naturwissenschaftliche Fakultät. Institut für Mathematik, Extern. Extern
Source SetsPotsdam University
LanguageEnglish
Detected LanguageEnglish
TypePreprint
Formatapplication/pdf
SourceStochastics and Dynamics. - 6 (2006), 1, S. 97 - 122
Rightshttp://opus.kobv.de/ubp/doku/urheberrecht.php

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