We prove the following conjecture of Dudley: If the volume exponent of a compact convex and symmetric subset $K$ of a Hilbert space is less than $-1$, then $K$ is a G.C. set.
Publié le : 1987-01-14
Classification:
G.C. set,
continuity of Gaussian process,
metric entropy mixed volumes,
60G15,
60G17,
41A46,
47B10
@article{1176992271,
author = {Milman, V. D. and Pisier, G.},
title = {Gaussian Processes and Mixed Volumes},
journal = {Ann. Probab.},
volume = {15},
number = {4},
year = {1987},
pages = { 292-304},
language = {en},
url = {http://dml.mathdoc.fr/item/1176992271}
}
Milman, V. D.; Pisier, G. Gaussian Processes and Mixed Volumes. Ann. Probab., Tome 15 (1987) no. 4, pp. 292-304. http://gdmltest.u-ga.fr/item/1176992271/