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math.FA2013
Concentration phenomena in high dimensional geometry
Olivier Guédon
The purpose of this note is to present several aspects of concentration phenomena in high dimensional geometry. At the heart of the study is a geometric analysis point of view comi…
math.FA2013
Thin-shell concentration for convex measures
Matthieu Fradelizi, Olivier Guédon, Alain Pajor
We prove that for , -concave measures on satisfy a thin shell concentration similar to the log-concave one. It leads to a Berry-Esseen type estimate for the…