Shift inequalities of Gaussian type
and norms of barycentres
Studia Mathematica, Tome 146 (2001) no. 3, pp. 245-259
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
We derive the equivalence of different forms of Gaussian
type shift inequalities. This completes previous results by
Bobkov. Our argument strongly relies on the Gaussian model for
which we give a geometric approach in terms of norms of
barycentres. Similar inequalities hold in the discrete setting;
they improve the known results on the so-called isodiametral
problem for the discrete cube. The study of norms of barycentres
for subsets of convex bodies completes the exposition.
Keywords:
derive equivalence different forms gaussian type shift inequalities completes previous results bobkov argument strongly relies gaussian model which geometric approach terms norms barycentres similar inequalities discrete setting improve known results so called isodiametral problem discrete cube study norms barycentres subsets convex bodies completes exposition
Affiliations des auteurs :
F. Barthe 1 ; D. Cordero-Erausquin 1 ; M. Fradelizi 1
@article{10_4064_sm146_3_3,
author = {F. Barthe and D. Cordero-Erausquin and M. Fradelizi},
title = {Shift inequalities of {Gaussian} type
and norms of barycentres},
journal = {Studia Mathematica},
pages = {245--259},
publisher = {mathdoc},
volume = {146},
number = {3},
year = {2001},
doi = {10.4064/sm146-3-3},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm146-3-3/}
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F. Barthe; D. Cordero-Erausquin; M. Fradelizi. Shift inequalities of Gaussian type and norms of barycentres. Studia Mathematica, Tome 146 (2001) no. 3, pp. 245-259. doi: 10.4064/sm146-3-3
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