Logarithmic Sobolev Inequalities for Unbounded Spin Systems Revisited
نویسنده
چکیده
where Entμ(f ) is the entropy of f with respect to μ (see below). It is well-known that the product measure μ of μ on R then satisfies the preceding inequalities (with the Euclidean length of the gradient of the function f on R) with the same constant C, in particular independent of the dimension n. Let now H be a smooth function on R such that ∫ edμ < ∞. Define Q the probability measure on R with density
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A Remark on Spectral Gap and Logarithmic Sobolev Inequalities for Conservative Spin Systems
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