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Stationary measures of stochastic gradient systems,infinite lattice models
Authors:J Fritz
Institution:(1) Mathematical Institute, Reáltanoda u. 13, 1053 Budapest, Hungary
Abstract:Summary Let G be the formal generator of a d-dimensional stochastic gradient system associated to an interaction potential U. If int G phiv d mgr= 0 for such smooth phiv that G phiv IL 1(mgr), then certain moment conditions imply that mgr is a Gibbs random field for U. If U satisfies a stability condition, and dlE2 or mgr 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.
Keywords:
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