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reversible measure.

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Infinite system of Brownian balls with interaction: the non-reversible case
Myriam Fradon, Sylvie Rœlly
Journal:

ESAIM: Probability and Statistics / Volume 11 / June 2007

Published online by Cambridge University Press:

01 March 2007, pp. 55-79

Print publication:

June 2007
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We consider an infinite system of hard balls in $\xR^d$ undergoing Brownian motionsand submitted to a smooth pair potential.It is modelized by an infinite-dimensional stochastic differential equationwith an infinite-dimensional local time term.Existence and uniqueness of a strong solution is proven for such an equation with fixed deterministic initial condition. We also showthat Gibbs measures are reversible measures.