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arxiv: 0707.1462 · v2 · submitted 2007-07-10 · 🧮 math.PR · math-ph· math.MP

Non-Uniqueness of Gibbs measures relative to Brownian motion

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keywords gibbsmeasuresbrownianmotionpotentialrelativeclassconsider
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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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