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Article Dans Une Revue Journal of Functional Analysis Année : 2004

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

Résumé

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.

Dates et versions

hal-00693112 , version 1 (01-05-2012)

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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, 2004, 214 (2), pp.410--427. ⟨10.1016/j.jfa.2003.12.001⟩. ⟨hal-00693112⟩
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