An isomorphic Dvoretzky-Milman Theorem using general random ensembles
Functional Analysis
2020-10-28 v1
Abstract
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 ensembles that exhibit the optimal behaviour. The ensembles constructed here need not satisfy any rotation invariance and can be rather heavy-tailed.
Cite
@article{arxiv.2010.14404,
title = {An isomorphic Dvoretzky-Milman Theorem using general random ensembles},
author = {Shahar Mendelson},
journal= {arXiv preprint arXiv:2010.14404},
year = {2020}
}