N. Tziotziou

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20212026

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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.MG2026

Functional perimeter and the dimensional Brunn-Minkowski inequality for log-concave measures

Alexandros Eskenazis, Apostolos Giannopoulos, Natalia Tziotziou

This paper is dedicated to two geometric problems associated to log-concave measures on $R^{n}$ . First, we study the dimensional Brunn-Minkowski inequality for even log-conc…

math.MG2026

On the maximal perimeter of isotropic log-concave probability measures

Silouanos Brazitikos, Apostolos Giannopoulos, Antonios Hmadi +1

We study the maximal perimeter constant of isotropic log-concave probability measures on $R^{n}$ . For a measure $μ$ , this quantity, denoted by $Γ (μ)$ , is defined as the supr…