Volker Betz and Fumio Hiroshima
Gibbs measures with double stochastic integrals on a pth space
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ABSTRACT.  We investigate Gibbs measures 
relative to Brownian motion in the case when 
the interaction energy is given by a double stochastic integral. 
In the case when the double stochastic 
 integral is originating from the Pauli-Fierz model 
 in nonrelativistic quantum electrodynamics, 
we prove the existence of its infinite volume limit.