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Logarithmic Sobolev inequalities for harmonic measures on spheres

โœ Scribed by Barthe, Franck; Ma, Yutao; Zhang, Zhengliang


Book ID
121382665
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
304 KB
Volume
102
Category
Article
ISSN
0021-7824

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On Modified Logarithmic Sobolev Inequali
โœ S.G Bobkov; M Ledoux ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 275 KB

We show that for any positive function f on the discrete cube [0, 1] n , where + n p is the product measure of the Bernoulli measure with probability of success p, as well as related inequalities, which may be shown to imply in the limit the classical Gaussian logarithmic Sobolev inequality as well