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Non-Uniqueness of Gibbs measures relative to Brownian motion

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.

preprint2010arXivOpen access
Volker BetzOlaf Wittich
math-phmath.PRmath.MP
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Volker BetzOlaf Wittich

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