141 citations · 238 across the 33 of their papers we have counts for
Showing 2017Show all
3 papers · 1 filter
math.FA2017
Dichotomies, structure, and concentration in normed spaces
Grigoris Paouris, Petros Valettas
We use probabilistic, topological and combinatorial methods to establish the following deviation inequality: For any normed space there exists an inve…
math.FA2017
Variance estimates and almost Euclidean structure
Grigoris Paouris, Petros Valettas
We introduce and initiate the study of new parameters associated with any norm and any log-concave measure on , which provide sharp distributional inequalities. In the…
math.MG2017
On a quantitative reversal of Alexandrov's inequality
Grigoris Paouris, Peter Pivovarov, Petros Valettas
Alexandrov's inequalities imply that for any convex body , the sequence of intrinsic volumes is non-increasing (when suitably normalized). Milman's random…