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A Characterization of Grand Canonical Gibbs Measures by Duality
Authors:Privault  Nicolas
Affiliation:(1) Département de Mathématiques, Université de La Rochelle, Avenue Marillac, 17042 La Rochelle Cedex 1, France
Abstract:We introduce Skorohod type integral operators that satisfy an integration by parts formula under Gibbs measures and obtain a characterization of grand canonical Gibbs measures by duality, without use of a differential structure on the underlying configuration space.
Keywords:Gibbs measures  Poisson measures  integration by parts
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