Gibbs measures with double stochastic integrals on a path space
Mathematical Physics
2008-01-31 v2 math.MP
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.
Cite
@article{arxiv.0707.3362,
title = {Gibbs measures with double stochastic integrals on a path space},
author = {Volker Betz and Fumio Hiroshima},
journal= {arXiv preprint arXiv:0707.3362},
year = {2008}
}
Comments
17 pages