TY  - INPR
A1  - Roelly, Sylvie
A1  - Fradon, Myriam
T1  - Infinite system of Brownian balls : equilibrium measures are canonical Gibbs
N2  - We consider a system of infinitely many hard balls in R<sup>d 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.
KW  - Stochastic Differential Equation
KW  - hard core potential
KW  - Canonical Gibbs measure
KW  - detailed balance equation
KW  - reversible measure
Y1  - 2006
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/612
UR  - https://nbn-resolving.org/urn:nbn:de:kobv:517-opus-6720
ER  -