Volker Betz, Jozsef Lorinczi and Herbert Spohn
Gibbs measures on Brownian paths: Theory and applications
(87K, LaTex 2e)

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.