Gibbs measures on Brownian paths: Theory and applications

Details Gibbs measures on Brownian paths: Theory and applications Gibbs measures on Brownian paths: Theory and applications

2004-04-26

arxiv.org/abs/math-ph/0404062v1

Physics

Mathematical Physics

27 pages

Scientific paper

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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