Uniform Poincar E Inequalities for Unbounded Conservative Spin Systems: the Non{interacting Case
نویسنده
چکیده
Abstract. We prove a uniform Poincaré inequality for non–interacting unbounded spin systems with a conservation law, when the single–site potential is a bounded perturbation of a convex function with polynomial growth at infinity. The result is then applied to Ginzburg-Landau processes to show diffusive scaling of the associated spectral gap. 2000 MSC: 60K35
منابع مشابه
A Remark on Spectral Gap and Logarithmic Sobolev Inequalities for Conservative Spin Systems
We observe that a class of conditional probability measures for unbounded spin systems with convex interactions satisses Poincar e and logarithmic Sobolev inequalities. For the corresponding conservative dynamics in a box of linear size L we show that the inverse of the spectral gap and the logarithmic Sobolev constant scale as L 2 in any dimension. 2000 MSC: 60K35
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