Sudakov-type minoration for log-concave vectors
Volume 223 / 2014
Studia Mathematica 223 (2014), 251-274
MSC: Primary 60E15; Secondary 46B09, 52A23.
DOI: 10.4064/sm223-3-5
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.
