52 citations · 81 across the 18 of their papers we have counts for
7 papers · 1 filter
Concavity principles for weighted marginals
Dario Cordero-Erausquin, Alexandros Eskenazis
We develop a general framework to study concavity properties of weighted marginals of -concave functions on via local methods. As a concrete implementation of our…
Discrete logarithmic Sobolev inequalities in Banach spaces
Dario Cordero-Erausquin, Alexandros Eskenazis
Let be the discrete hypercube equipped with the uniform probability measure . We prove that if is a Banach space of finite cotype…
Resilience of cube slicing in
Alexandros Eskenazis, Piotr Nayar, Tomasz Tkocz
Ball's celebrated cube slicing (1986) asserts that among hyperplane sections of the cube in , the central section orthogonal to has the greatest vol…
Talagrand's influence inequality revisited
Dario Cordero-Erausquin, Alexandros Eskenazis
Let be the discrete hypercube equipped with the uniform probability measure . Talagrand's influence inequality (1994) asserts that there exists $C\i…
On Pisier's inequality for UMD targets
Alexandros Eskenazis
We prove an extension of Pisier's inequality (1986) with a dimension independent constant for vector valued functions whose target spaces satisfy a relaxation of the UMD property.
Polynomial inequalities on the Hamming cube
Alexandros Eskenazis, Paata Ivanisvili
Let be a Banach space. The purpose of this article is to systematically investigate dimension independent properties of vector valued functions $f:\{-1,1\}^n\to X…
Sharp comparison of moments and the log-concave moment problem
Alexandros Eskenazis, Piotr Nayar, Tomasz Tkocz
This article investigates sharp comparison of moments for various classes of random variables appearing in a geometric context. In the first part of our work we find the optimal co…