Existence of Gibbs measures relative to Brownian motion
Probability
2007-05-23 v1
Abstract
We prove existence of infinite volume Gibbs measures relative to Brownian motion. We require the pair potential W to fulfill a uniform integrability condition, but otherwise our restrictions on the potentials are relatively weak. In particular, our results are applicable to the massless Nelson model. We also prove an upper bound for path fluctuations under the infinite volume Gibbs measures.
Cite
@article{arxiv.math/0107184,
title = {Existence of Gibbs measures relative to Brownian motion},
author = {Volker Betz},
journal= {arXiv preprint arXiv:math/0107184},
year = {2007}
}
Comments
17 pages