01-71 Pietro Caputo

A remark on spectral gap and logarithmic Sobolev inequalities for conservative spin systems (160K, Postscript) Feb 21, 01

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Abstract. We observe that a class of conditional probability measures for unbounded spin systems with convex interactions satisfies 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.

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