Minas Pafis

collaborators

4 papers

math.PR2026

Variance lower bounds for geometric functionals of rotationally invariant log-concave random polytopes

Minas Pafis, Christos Pandis

We establish variance lower bounds for the intrinsic volumes and the face numbers of random polytopes, generated by independent samples from rotationally invariant log-concave prob…

math.MG2026

Geometry of the subgaussian body of an isotropic convex body

Apostolos Giannopoulos, Minas Pafis, Natalia Tziotziou

For a centered convex body $K \subset R^{n}$ , let $Ψ_{2} (K)$ denote the symmetric convex body whose support function is given by the $ψ_{2}$ -norms of linear functionals on $K$ . Th…

math.PR2026

Discrete log-concavity and threshold phenomena for atomic measures

Silouanos Brazitikos, Minas Pafis

We investigate threshold phenomena for random polytopes $K_N=\conv\{X_1,\dots,X_N\}$ generated by i.i.d.\ samples from an atomic law $I^¼$ . We identify and provide a missing justifi…

math.MG2025

On the deterministic interior body of random polytopes

Minas Pafis, Natalia Tziotziou

Let ${X_{i}}_{i = 1}^{\infty}$ be a sequence of independent copies of a random vector $X$ in $R^{n}$ . We revisit the question to determine the asymptotic shape of the random p…