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The (B) conjecture for the Gaussian measure of dilates of symmetric convex sets and related problems

Dario Cordero-Erausquin 1 Matthieu Fradelizi 1 Bernard Maurey 1
1 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées
Abstract : We show that given a symmetric convex set K subset of R-d, the function t-->gamma(e(l) K) is loa-concave on R, where gamma denotes the standard d-dimensional Gaussian measure. We also comment on the extension of this property to unconditional log-concave measures and sets, and on the complex case. (C) 2003 Elsevier Inc. All rights reserved.
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https://hal-upec-upem.archives-ouvertes.fr/hal-00693112
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Submitted on : Tuesday, May 1, 2012 - 8:20:39 PM
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Dario Cordero-Erausquin, Matthieu Fradelizi, Bernard Maurey. The (B) conjecture for the Gaussian measure of dilates of symmetric convex sets and related problems. Journal of Functional Analysis, Elsevier, 2004, 214 (2), pp.410--427. ⟨10.1016/j.jfa.2003.12.001⟩. ⟨hal-00693112⟩

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