P. Valettas

activity

20142025

most citedRandom version of Dvoretzky's theorem in

ℓ_{p}^{n}

24 citations · 36 across the 11 of their papers we have counts for

collaborators

Showing 2016Show all

2 papers · 1 filter

math.PR2016

A Gaussian small deviation inequality for convex functions

Grigoris Paouris, Petros Valettas

Let $Z$ be an $n$ -dimensional Gaussian vector and let $f : R^{n} \to R$ be a convex function. We show that: $$\mathbb P \left( f(Z) \leq \mathbb E f(Z) -t\sqrt{ {\rm V…

math.MG2016★ 11 cited

Inequalities for the surface area of projections of convex bodies

Apostolos Giannopoulos, Alexander Koldobsky, Petros Valettas

We provide general inequalities that compare the surface area S(K) of a convex body K in $R^{n}$ to the minimal, average or maximal surface area of its hyperplane or lower…