Gibbs measures with double stochastic integrals on a path space
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🧮 math-ph
math.MP
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doublestochasticcasegibbsintegralmeasureswhenbrownian
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We investigate Gibbs measures relative to Brownian motion in the case when the interaction energy is given by a double stochastic integral. In the case when the double stochastic integral is originating from the Pauli-Fierz model in nonrelativistic quantum electrodynamics, we prove the existence of its infinite volume limit.
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