A. Giannopoulos

collaborators

6 papers

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.FA2026

Banach-Mazur distances and basis constants of isotropic log-concave random spaces

Apostolos Giannopoulos, Antonios Hmadi

We study the Banach-Mazur distance between random normed spaces generated by centrally symmetric random polytopes associated with isotropic log-concave measures in $R^{n}$ .…

math.MG2026

Regular functional covering numbers

Apostolos Giannopoulos, Natalia Tziotziou

We establish the existence of a regular functional $M$ -position, in the sense of Pisier, for geometric log-concave functions. This provides a functional analogue of Pisier's regula…

math.MG2026

Apostolos Giannopoulos, Natalia Tziotziou

Let $I^¼$ be a centered log-concave probability measure on $R^{n}$ and let $I^_{I^} ¼^{*}$ denote the CramÃ©r transform of $I^¼$ , i.e. $Î_Î¼^{\ast}(x)=\sup\{\langle x,Î¾\rang…

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 $I^¼$ , this quantity, denoted by $I^ (I^¼)$ , is defined as the s…

Geometry of the subgaussian body of an isotropic convex body

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

Banach-Mazur distances and basis constants of isotropic log-concave random spaces

Regular functional covering numbers

Moments of the CramÃ©r transform of log-concave probability measures

On the maximal perimeter of isotropic log-concave probability measures