141 citations · 238 across the 33 of their papers we have counts for
6 papers · 1 filter
Measure comparison and distance inequalities for convex bodies
Alexander Koldobsky, Grigoris Paouris, Artem Zvavitch
We prove new versions of the isomorphic Busemann-Petty problem for two different measures and show how these results can be used to recover slicing and distance inequalities. We al…
Hypercontractivity and Lower Deviation Estimates in Normed Spaces
Grigoris Paouris, Konstantin Tikhomirov, Petros Valettas
We consider the problem of estimating small ball probabilities for sub-additive,positively homogeneous functions with respect to th…
Stable recovery and the coordinate small-ball behaviour of random vectors
Shahar Mendelson, Grigoris Paouris
Recovery procedures in various application in Data Science are based on \emph{stable point separation}. In its simplest form, stable point separation implies that if is "far aw…
Remarks on the Rényi Entropy of a sum of IID random variables
Benjamin Jaye, Galyna V. Livshyts, Grigoris Paouris +1
In this note we study a conjecture of Madiman and Wang which predicted that the generalized Gaussian distribution minimizes the Rényi entropy of the sum of independent random varia…
Affine isoperimetric inequalities on flag manifolds
Susanna Dann, Grigoris Paouris, Peter Pivovarov
Building on work of Furstenberg and Tzkoni, we introduce -flag affine quermassintegrals and their dual versions. These quantities generalize affine and dual affine quermas…
A Faster Solution to Smale's 17th Problem I: Real Binomial Systems
Grigoris Paouris, Kaitlyn Phillipson, J. Maurice Rojas
Suppose is a system of random -variate polynomials with having degree and the coefficient of in being a…