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arXiv:0707.1462 [math.PR]AbstractReferencesReviewsResources

Non-Uniqueness of Gibbs measures relative to Brownian motion

Volker Betz, Olaf Wittich

Published 2007-07-10, updated 2010-07-15Version 2

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.

Comments: This paper has been withdrawn by the author due to a fatal error in Theorem 3.5 (the main theorem, unfortunately)
Categories: math.PR, math-ph, math.MP
Subjects: 82B31, 60J50
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