N. Tziotziou

activity

20212026

collaborators

9 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.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…

math.MG2025

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.MG2025

Sections and projections of the outer and inner regularizations of a convex body

Natalia Tziotziou

We establish new geometric inequalities comparing the volumes of sections and projections of a convex body, whose barycenter or Santaló point is at the origin, with those of its in…

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…

math.MG2025

Inequalities for sections and projections of log-concave functions

Natalia Tziotziou

We provide extensions of geometric inequalities about sections and projections of convex bodies to the setting of integrable log-concave functions. Namely, we consider suitable gen…

math.MG2025

Moments of the Cramér transform of log-concave probability measures

Apostolos Giannopoulos, Natalia Tziotziou

Let $μ$ be a centered log-concave probability measure on $R^{n}$ and let $Λ_{μ}^{*}$ denote the Cramér transform of $μ$ , i.e. $Λ_μ^{\ast}(x)=\sup\{\langle x,ξ\rangle-Λ_μ(ξ…

math.FA2021

Topological and algebraic genericity and spaceability for an extended chain of sequence spaces

M. Axarlis, I. Deliyanni, Th. Loukidou +3

We examine topological and algebraic genericity and spaceability for any pair $(X, Y)$ , $X \subset Y$ , $X \neq = Y$ belonging to an extended chain of sequence spaces which contains the…