Sudakov-type minoration for log-concave vectors

• Autorzy: Rafał Latała
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 52A23: Asymptotic theory of convex bodies
• 60E15: Inequalities; stochastic orderings
• 46B09: Probabilistic methods in Banach space theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2014
• Tom: 223
• Numer: 3
• Strony: 251-274

Daty

wydano

2014

Twórcy

autor

Rafał Latała

• Institute of Mathematics, University of Warsaw, Banacha 2, 02-097 Warszawa, Poland

Identyfikatory

DOI

10.4064/sm223-3-5