99-223 Volker Betz, Jozsef Lorinczi
A Gibbsian description of P(\phi)_1-processes (235K, postscript) Jun 10, 99
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Abstract. We consider Brownian motions perturbed by suitable potentials and ask the question whether their stationary path measures can be described as Gibbs measures. Our main result is that for a rich set of potentials and a large subset of boundary conditions Gibbs measures do exist and are moreover unique. The set of allowed boundary path configurations is identified explicitely. We conclude by illustrating these results on some specific examples.

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