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Isoperimetry and symmetrization for logarithmic Sobolev inequalities |
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| Authors: | Joaquim Martí n,Mario Milman |
| Affiliation: | a Department of Mathematics, Universitat Autònoma de Barcelona, Spain b Department of Mathematics, Florida Atlantic University, FL, USA |
| 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. |
| Keywords: | Logarithmic Sobolev inequalities Symmetrization Isoperimetric inequalities |
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