The symmetric property tau for the Gaussian measure

Details The symmetric property tau for the Gaussian measure The symmetric property tau for the Gaussian measure

2010-11-09

arxiv.org/abs/1011.2142v1

Ann. Fac. Sci. Toulouse Math. (6) 17 (2008), no. 2, 357-370

Mathematics

Functional Analysis

10 pages, file might be slightly different from the published version

Scientific paper

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.

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