Sudakov-type minoration for log-concave vectors

Rafał Latała

Published 2013-11-25, updated 2014-11-14Version 2

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.