Gibbs measures with double stochastic integrals on a path space

Volker Betz; Fumio Hiroshima

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arXiv · 0707.3362

Gibbs measures with double stochastic integrals on a path space

Volker Betz·Fumio Hiroshima

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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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Volker Betz, Fumio Hiroshima. 2008-01-31. Gibbs measures with double stochastic integrals on a path space. https://arxiv.org/abs/0707.3362

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