A central limit theorem for Gibbs measures relative to Brownian motion
Probability
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
We study a Gibbs measure over Brownian motion with a pair potential which depends only on the increments. Assuming a particular form of this pair potential, we establish that in the infinite volume limit the Gibbs measure can be viewed as Brownian motion moving in a dynamic random environment. Thereby we are in a position to use the technique of Kipnis and Varadhan and to prove a functional central limit theorem.
Keywords
Cite
@article{arxiv.math/0308193,
title = {A central limit theorem for Gibbs measures relative to Brownian motion},
author = {Volker Betz and Herbert Spohn},
journal= {arXiv preprint arXiv:math/0308193},
year = {2007}
}
Comments
19 pages