Infinite system of Brownian Balls: Equilibrium measures are canonical Gibbs

  • We consider a system of infinitely many hard balls in Rd 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.

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Author:Myriam Fradon, Sylvie Roelly
Series (Serial Number):Mathematische Statistik und Wahrscheinlichkeitstheorie : Preprint (2005, 02)
Document Type:Preprint
Year of Completion:2005
Publishing Institution:Universität Potsdam
Release Date:2011/03/29
Tag:Canonical Gibbs measure; Stochastic Differential Equation; detailed balance equation; hard core potential; reversible measure
RVK - Regensburg Classification:SI 990
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
Licence (German):License LogoKeine Nutzungslizenz vergeben - es gilt das deutsche Urheberrecht