G. Paouris

activity

20062026

most citedRelative entropy of cone measures and

L_{p}

centroid bodies

141 citations · 238 across the 33 of their papers we have counts for

collaborators

Showing 2015 · math.PRShow all

2 papers · 2 filters

math.PR2015

On sharp bounds for marginal densities of product measures

Galyna Livshyts, Grigoris Paouris, Peter Pivovarov

We discuss optimal constants in a recent result of Rudelson and Vershynin on marginal densities. We show that if $f$ is a probability density on $R^{n}$ of the form $f(x)=\prod_{i=1…

math.PR2015

Bounding marginal densities via affine isoperimetry

Susanna Dann, Grigoris Paouris, Peter Pivovarov

Let $μ$ be a probability measure on $R^{n}$ with a bounded density $f$ . We prove that the marginals of $f$ on most subspaces are well-bounded. For product measures, studied…