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Infinite system of Brownian balls with interaction: the non-reversible case
Published online by Cambridge University Press: 01 March 2007
Abstract
We consider an infinite system of hard balls in $\xR^d$ undergoing Brownian motions and submitted to a smooth pair potential. It is modelized by an infinite-dimensional stochastic differential equation with 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 show that Gibbs measures are reversible measures.
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- Research Article
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- © EDP Sciences, SMAI, 2007
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