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arXiv · 2010.14404

An isomorphic Dvoretzky-Milman Theorem using general random ensembles

Shahar Mendelson
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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. 2020-10-27. An isomorphic Dvoretzky-Milman Theorem using general random ensembles. https://arxiv.org/abs/2010.14404

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