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The symmetric property tau for the Gaussian measure
- Source :
- Annales de la Faculté des Sciences de Toulouse. Mathématiques., Annales de la Faculté des Sciences de Toulouse. Mathématiques., Université Paul Sabatier _ Cellule Mathdoc 2008, 17 (2), pp.357-370. ⟨10.5802/afst.1186⟩
- Publication Year :
- 2010
-
Abstract
- We give a proof based on the Poincar\'e inequality of the symmetric property tau for the Gaussian measure. This property turns out to be equivalent to a certain functional form of the Blaschke-Santal\'o inequality, as explained in a paper by Artstein, Klartag and Milman.<br />Comment: 10 pages, file might be slightly different from the published version
- Subjects :
- Physics
Mathematics::Functional Analysis
60D05 (28A75 52A39 52A40)
010102 general mathematics
General Medicine
Inégalités fonctionnelles
16. Peace & justice
Gaussian measure
[MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA]
01 natural sciences
Functional Analysis (math.FA)
Combinatorics
Mathematics - Functional Analysis
010104 statistics & probability
Symmetric property
FOS: Mathematics
39B62
Mathematics::Metric Geometry
0101 mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 02402963 and 22587519
- Database :
- OpenAIRE
- Journal :
- Annales de la Faculté des Sciences de Toulouse. Mathématiques., Annales de la Faculté des Sciences de Toulouse. Mathématiques., Université Paul Sabatier _ Cellule Mathdoc 2008, 17 (2), pp.357-370. ⟨10.5802/afst.1186⟩
- Accession number :
- edsair.doi.dedup.....d85bdb1ab0893eb0b410b9e46f4fc1f6
- Full Text :
- https://doi.org/10.5802/afst.1186⟩