This is an announcement for the paper "Isometry and symmetrization for logarithmic Sobolev inequalities" by Joaquim Martin and Mario Milman.
Abstract: Using isoperimetry and symmetrization we provide a unified framework to study the classical and logarithmic Sobolev inequalities. In particular, we obtain new Gaussian symmetrization inequalities and connect them with logarithmic Sobolev inequalities. Our methods are very general and can be easily adapted to more general contexts.
Archive classification: math.FA math.AP
The source file(s), Gauss-final-rev.tex: 69485 bytes, is(are) stored in gzipped form as 0806.0021.gz with size 19kb. The corresponding postcript file has gzipped size 129kb.
Submitted from: mario.milman@gmail.com
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0806.0021
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http://arXiv.org/abs/0806.0021
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uget 0806.0021
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