Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 1, Tome 228 (1996), pp. 31-38
Citer cet article
S. G. Bobkov; C. Houdré. Characterization of Gaussian measures by the isoperimetric property of half-spaces. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 1, Tome 228 (1996), pp. 31-38. http://geodesic.mathdoc.fr/item/ZNSL_1996_228_a3/
@article{ZNSL_1996_228_a3,
author = {S. G. Bobkov and C. Houdr\'e},
title = {Characterization of {Gaussian} measures by the isoperimetric property of half-spaces},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {31--38},
year = {1996},
volume = {228},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1996_228_a3/}
}
TY - JOUR
AU - S. G. Bobkov
AU - C. Houdré
TI - Characterization of Gaussian measures by the isoperimetric property of half-spaces
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1996
SP - 31
EP - 38
VL - 228
UR - http://geodesic.mathdoc.fr/item/ZNSL_1996_228_a3/
LA - ru
ID - ZNSL_1996_228_a3
ER -
%0 Journal Article
%A S. G. Bobkov
%A C. Houdré
%T Characterization of Gaussian measures by the isoperimetric property of half-spaces
%J Zapiski Nauchnykh Seminarov POMI
%D 1996
%P 31-38
%V 228
%U http://geodesic.mathdoc.fr/item/ZNSL_1996_228_a3/
%G ru
%F ZNSL_1996_228_a3
If the half-spaces of the form $\{x\in\mathbb R^n\colon x_1\le c\}$ are extremal in the isoperimetric problem for the product-measure $\mu^n$, $n\ge2$, then the marginal distribution $\mu$ is Gaussian. Bibl. 8 titles.
