%0 Journal Article
%T A central limit theorem for Gibbs measures relative to Brownian motion
%A Volker Betz
%A Herbert Spohn
%J Mathematics
%D 2003
%I arXiv
%X 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.
%U http://arxiv.org/abs/math/0308193v1