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 2015Show all

5 papers · 1 filter

math.MG2015

Random ball-polyhedra and inequalities for intrinsic volumes

Grigoris Paouris, Peter Pivovarov

We prove a randomized version of the generalized Urysohn inequality relating mean-width to the other intrinsic volumes. To do this, we introduce a stochastic approximation procedur…

math.FA2015★ 1 cited

On Dvoretzky's theorem for subspaces of $L_{p}$

Grigoris Paouris, Petros Valettas

We prove that for any $2 < p < \infty$ and for every $n$ -dimensional subspace $X$ of $L_{p}$ , represented on $R^{n}$ , whose unit ball $B_{X}$ is in Lewis' position one has the follow…

math.FA2015★ 24 cited

Random version of Dvoretzky's theorem in $ℓ_{p}^{n}$

Grigoris Paouris, Petros Valettas, Joel Zinn

We study the dependence on $ε$ in the critical dimension $k (n, p, ε)$ for which one can find random sections of the $ℓ_{p}^{n}$ -ball which are $(1 + ε)$ -sp…

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…