An isomorphic Dvoretzky-Milman Theorem using general random ensembles

Published 27 Oct 2020 in math.FA | (2010.14404v1)

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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Shahar Mendelson

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