Alexandros Eskenazis

activity

20182026

most citedDiscrete logarithmic Sobolev inequalities in Banach spaces

2 citations · 2 across the 7 of their papers we have counts for

collaborators

12 papers

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…

cs.DS2025

An optimal algorithm for average distance in typical regular graphs

Alexandros Eskenazis, Manor Mendel, Assaf Naor

We design a deterministic algorithm that, given $n$ points in a \emph{typical} constant degree regular~graph, queries $O (n)$ distances to output a constant factor approximation to…

math.FA2025

Concavity principles for weighted marginals

Dario Cordero-Erausquin, Alexandros Eskenazis

We develop a general framework to study concavity properties of weighted marginals of $β$ -concave functions on $R^{n}$ via local methods. As a concrete implementation of our…

math.MG2022

Average distortion embeddings, nonlinear spectral gaps, and a metric John theorem (after Assaf Naor)

Alexandros Eskenazis

We survey various aspects of the theory of nonlinear spectral gaps. In particular, we present a self-contained proof of Naor's average John theorem.

math.CA2020

Sharp growth of the Ornstein-Uhlenbeck operator on Gaussian tail spaces

Alexandros Eskenazis, Paata Ivanisvili

Let $X$ be a standard Gaussian random variable. For any $p \in (1, \infty)$ , we prove the existence of a universal constant $C_{p} > 0$ such that the inequality $$(\mathbb{E} |h'(X)|…

math.MG2020

The dimensional Brunn-Minkowski inequality in Gauss space

Alexandros Eskenazis, Georgios Moschidis

Let $γ_{n}$ be the standard Gaussian measure on $R^{n}$ . We prove that for every symmetric convex sets $K, L$ in $R^{n}$ and every $λ \in (0, 1)$ , $$γ_n(λK+(1-λ)L)^{\frac{1…