07-220 Volker Betz and Fumio Hiroshima

Gibbs measures with double stochastic integrals on a pth space (314K, pdf) Sep 28, 07

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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.

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