Nikos Skarmogiannis

most citedAffine quermassintegrals of random polytopes

5 citations · 5 across the 2 of their papers we have counts for

collaborators

4 papers

math.FA2022

On a multi-integral norm defined by weighted sums of log-concave random vectors

Nikos Skarmogiannis

Let $C$ and $K$ be centrally symmetric convex bodies in $R^{n}$ . We show that if $C$ is isotropic then \begin{equation*}\|{\bf t}\|_{C^s,K}=\int_{C}\cdots\int_{C}\Big\|\sum…

math.MG2019★ 5 cited

Affine quermassintegrals of random polytopes

Giorgos Chasapis, Nikos Skarmogiannis

A question related to some conjectures of Lutwak about the affine quermassintegrals of a convex body $K$ in $R^{n}$ asks whether for every convex body $K$ in ${\mathbb R}^n…

math.MG2019

Norms of weighted sums of log-concave random vectors

Giorgos Chasapis, Apostolos Giannopoulos, Nikos Skarmogiannis

Let $C$ and $K$ be centrally symmetric convex bodies of volume $1$ in $R^{n}$ . We provide upper bounds for the multi-integral expression \begin{equation*}\|{\bf t}\|_{C^s,K…

math.MG2019

A note on norms of signed sums of vectors

Giorgos Chasapis, Nikos Skarmogiannis

Our starting point is an improved version of a result of D. Hajela related to a question of Komlós: we show that if $f (n)$ is a function such that $\lim\limits_{n\to\infty }f(n)=\i…