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We consider a system of infinitely many hard balls in R 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.doi:10.1142/s0219493706001669 fatcat:inh75f7tqraejhd54niosgv5o4