Gibbs measures on Brownian paths: Theory and applications
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
We review our investigations on Gibbs measures relative to Brownian motion, in particular the existence of such measures and their path properties, uniqueness, resp. non-uniqueness. For the case when the energy only depends on increments, we present a functional central limit theorem. We also explain connections with other work and state open problems of interest.
Cite
@article{arxiv.math-ph/0404062,
title = {Gibbs measures on Brownian paths: Theory and applications},
author = {Volker Betz and Jozsef Lorinczi and Herbert Spohn},
journal= {arXiv preprint arXiv:math-ph/0404062},
year = {2007}
}
Comments
27 pages