The (B) conjecture for the Gaussian measure of dilates of symmetric convex sets and related problems
Cordero-Erausquin, Dario ; Fradelizi, Matthieu ; Maurey, Bernard
HAL, hal-00693112 / Harvested from HAL
Text on HAL
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.
Publié le : 2004-07-05
Classification:  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph] 
@article{hal-00693112,
     author = {Cordero-Erausquin, Dario and Fradelizi, Matthieu and Maurey, Bernard},
     title = {The (B) conjecture for the Gaussian measure of dilates of symmetric convex sets and related problems},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00693112}
}

Cordero-Erausquin, Dario; Fradelizi, Matthieu; Maurey, Bernard. The (B) conjecture for the Gaussian measure of dilates of symmetric convex sets and related problems. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00693112/