Entropy bounds and isoperimetry
著者
書誌事項
Entropy bounds and isoperimetry
（Memoirs of the American Mathematical Society, no. 829）
American Mathematical Society, c2005
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注記
"July 2005."
"Volume 176, number 829 (first of 4 numbers)."
Bibliography: p. 67-69
内容説明・目次
目次
Introduction and notations Poincare-type inequalities Entropy and Orlicz spaces $\mathbf{LS}_q$ and Hardy-type inequalities on the line Probability measures satisfying $\mathbf{LS}_q$-inequalities on the real line Exponential integrability and perturbation of measures $\mathbf{LS}_q$-inequalities for Gibbs measures with super Gaussian tails $\mathbf{LS}_q$-inequalities and Markov semigroups Isoperimetry The localization argument Infinitesimal version Proof of Theorem 9.2 Euclidean distance (proof of Theorem 9.1) Uniformly convex bodies From isoperimetry to $\mathbf{LS}_q$-inequalities Isoperimetric functional inequalities Bibliography.
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