Jozsef Lorinczi, Robert A. Minlos
Gibbs measures for Brownian paths under the 
effect of an external and a small pair potential
(434K, postscript)

ABSTRACT.  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.