A Remark on Spectral Gap and Logarithmic Sobolev Inequalities for Conservative Spin Systems
نویسنده
چکیده
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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