04-128 Volker Betz, Jozsef Lorinczi and Herbert Spohn
Gibbs measures on Brownian paths: Theory and applications (87K, LaTex 2e) Apr 26, 04
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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.

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