Non-Uniqueness of Gibbs measures relative to Brownian motion

Details Non-Uniqueness of Gibbs measures relative to Brownian motion Non-Uniqueness of Gibbs measures relative to Brownian motion

2007-07-10

arxiv.org/abs/0707.1462v2

Mathematics

Probability

This paper has been withdrawn by the author due to a fatal error in Theorem 3.5 (the main theorem, unfortunately)

Scientific paper

We consider Gibbs measures relative to Brownian motion of Feynman-Kac type,
with single site potential V. We show that for a large class of V, including
the Coulomb potential, there exist infinitely many infinite volume Gibbs
measures.

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