Sudakov-type minoration for log-concave vectors

Abstract

We formulate and discuss a conjecture concerning lower bounds for norms of log-concave vectors, which generalizes the classical Sudakov minoration principle for Gaussian vectors. We show that the conjecture holds for some special classes of log-concave measures and some weaker forms of it are satisfied in the general case. We also present some applications based on chaining techniques.

27 pages, updated references and corrected typos

References in corpus (1)

• A note on suprema of canonical processes based on random variables with regular moments

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