Shift inequalities of Gaussian type and norms of barycentres

F. Barthe, D. Cordero-Erausquin, and M. Fradelizi. "Shift inequalities of Gaussian type and norms of barycentres." Studia Mathematica 146.3 (2001): 245-259. <http://eudml.org/doc/284916>.

@article{F2001,
abstract = {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.},
author = {F. Barthe, D. Cordero-Erausquin, M. Fradelizi},
journal = {Studia Mathematica},
keywords = {Gaussian measure; shift; barycentre},
language = {eng},
number = {3},
pages = {245-259},
title = {Shift inequalities of Gaussian type and norms of barycentres},
url = {http://eudml.org/doc/284916},
volume = {146},
year = {2001},
}

TY - JOUR
AU - F. Barthe
AU - D. Cordero-Erausquin
AU - M. Fradelizi
TI - Shift inequalities of Gaussian type and norms of barycentres
JO - Studia Mathematica
PY - 2001
VL - 146
IS - 3
SP - 245
EP - 259
AB - 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.
LA - eng
KW - Gaussian measure; shift; barycentre
UR - http://eudml.org/doc/284916
ER -