An isomorphic Dvoretzky-Milman Theorem using general random ensembles

2020/10/27 by Mendelson, Shahar
#46B06 #46B09 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2010.14404

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.

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