Gibbs Measures for Brownian Paths under the Eeect of an External and a Small Pair Potential
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چکیده
We consider Brownian motion in the presence of an external and a weakly coupled pair interaction potential and show that its stationary measure is a Gibbs measure. Uniqueness of the Gibbs measure for two cases is shown. Also the typical path behaviour and some further properties are derived. We use cluster expansion in the small coupling parameter.
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تاریخ انتشار 2000