373 citations · 909 across the 61 of their papers we have counts for
13 papers · 1 filter
Optimal non-gaussian Dvoretzky-Milman embeddings
Daniel Bartl, Shahar Mendelson
We construct the first non-gaussian ensemble that yields the optimal estimate in the Dvoretzky-Milman Theorem: the ensemble exhibits almost Euclidean sections in arbitrary normed s…
Random embeddings with an almost Gaussian distortion
Daniel Bartl, Shahar Mendelson
Let be a symmetric, isotropic random vector in and let be independent copies of . We show that under mild assumptions on (a suitable th…
An isomorphic Dvoretzky-Milman Theorem using general random ensembles
Shahar Mendelson
We construct rather general random ensembles that yield the optimal (isomorphic) estimate in the Dvoretzky-Milman Theorem. This is the first construction of non gaussian/spherical…
On the geometry of random polytopes
Shahar Mendelson
We present a simple proof to a fact recently established in [5]: let be a symmetric random variable that has variance , let be an random matrix who…
Generalized Dual Sudakov Minoration via Dimension Reduction - A Program
Shahar Mendelson, Emanuel Milman, Grigoris Paouris
We propose a program for establishing a conjectural extension to the class of (origin-symmetric) log-concave probability measures , of the classical dual Sudakov Minoration on t…
Dvoretzky type theorems for subgaussian coordinate projections
Shahar Mendelson
Given a class of functions on a probability space , we study the structure of a typical coordinate projection of the class, defined by ,…