52 citations · 81 across the 18 of their papers we have counts for
5 papers · 1 filter
Intrinsic dimensional functional inequalities on model spaces
Alexandros Eskenazis, Yair Shenfeld
We initiate a systematic study of intrinsic dimensional versions of classical functional inequalities which capture refined properties of the underlying objects. We focus on model…
Distributional stability of the Szarek and Ball inequalities
Alexandros Eskenazis, Piotr Nayar, Tomasz Tkocz
We prove an extension of Szarek's optimal Khinchin inequality (1976) for distributions close to the Rademacher one, when all the weights are uniformly bounded by a fract…
Sharp Rosenthal-type inequalities for mixtures and log-concave variables
Giorgos Chasapis, Alexandros Eskenazis, Tomasz Tkocz
We obtain Rosenthal-type inequalities with sharp constants for moments of sums of independent random variables which are mixtures of a fixed distribution. We also identify extremis…
Cutoff for the Bernoulli-Laplace urn model with swaps
Alexandros Eskenazis, Evita Nestoridi
We study the mixing time of the Bernoulli--Laplace urn model, where . Consider two urns, each containing balls, so that when combined they have pr…
Gaussian mixtures: entropy and geometric inequalities
Alexandros Eskenazis, Piotr Nayar, Tomasz Tkocz
A symmetric random variable is called a Gaussian mixture if it has the same distribution as the product of two independent random variables, one being positive and the other a stan…