A characterization of grand canonical Gibbs measures by duality
| Nicolas Privault |
| 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.
Key words: Gibbs measures, Poisson measures,
integration by parts.
Mathematics Subject Classification (1991):
60G60, 60K35, 82C22, 60H07, 60H20.
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