Non-Uniqueness of Gibbs measures relative to Brownian motion
Probability
2010-07-16 v2 Mathematical Physics
math.MP
Abstract
We consider Gibbs measures relative to Brownian motion of Feynman-Kac type, with single site potential V. We show that for a large class of V, including the Coulomb potential, there exist infinitely many infinite volume Gibbs measures.
Keywords
Cite
@article{arxiv.0707.1462,
title = {Non-Uniqueness of Gibbs measures relative to Brownian motion},
author = {Volker Betz and Olaf Wittich},
journal= {arXiv preprint arXiv:0707.1462},
year = {2010}
}
Comments
This paper has been withdrawn by the author due to a fatal error in Theorem 3.5 (the main theorem, unfortunately)