Skip to Main content Skip to Navigation
Journal articles

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

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.
Document type :
Journal articles
Complete list of metadatas

https://hal-upec-upem.archives-ouvertes.fr/hal-00693112
Contributor : Admin Lama <>
Submitted on : Tuesday, May 1, 2012 - 8:20:39 PM
Last modification on : Thursday, March 19, 2020 - 12:26:02 PM

Links full text

Identifiers

Citation

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⟩

Share

Metrics

Record views

381