A Stein deficit for the logarithmic Sobolev inequality

发布时间：2018-03-31 02:07

  本文选题：deficit　切入点：logarithmic　出处：《Science China(Mathematics)》2017年07期

【摘要】：We provide some lower bounds on the deficit in the Gaussian logarithmic Sobolev inequality in terms of the so-called Stein characterization of the Gaussian distribution.The techniques are based on the representation of the relative Fisher information along the Ornstein-Uhlenbeck semigroup by the Minimum Mean-Square Error from information theory.
[Abstract]:We provide some lower bounds on the deficit in the Gaussian logarithmic Sobolev inequality in terms of the so-called Stein characterization of the Gaussian distribution.The techniques are based on the representation of the relative Fisher information along the Ornstein-Uhlenbeck semigroup by the Minimum Mean-Square Error from information theory.
【作者单位】： Institut
【基金】：Grants No.F1R-MTH-PUL-15CONF and No. F1R-MTH-PUL-15STAR at Luxembourg University
【分类号】：O178

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