Stationary measures of stochastic gradient systems,infinite lattice models |
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Authors: | J. Fritz |
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Affiliation: | (1) Mathematical Institute, Reáltanoda u. 13, 1053 Budapest, Hungary |
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Abstract: | Summary Let G be the formal generator of a d-dimensional stochastic gradient system associated to an interaction potential U. If G d = 0 for such smooth that G IL1( ), then certain moment conditions imply that is a Gibbs random field for U. If U satisfies a stability condition, and d 2 or is translation invariant, then these moment conditions can be replaced by a natural support condition. Results of Holley and Stroock [6] are extended to certain unbounded spin systems. |
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