Uniqueness of invariant product measures for elliptic infinite dimensional diffusions and particle spin systems
Alejandro F. Ramírez (2010)
ESAIM: Probability and Statistics
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Consider an infinite dimensional diffusion process process on , where is the circle, defined by the action of its generator on ) local functions as . Assume that the coefficients, and are smooth, bounded, finite range with uniformly bounded second order partial derivatives, that is only a function of and that . Suppose is an invariant product measure. Then, if is the Lebesgue measure or if ,...