English

Sudakov-type minoration for log-concave vectors

Probability 2014-11-17 v2 Functional Analysis

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.

Keywords

Cite

@article{arxiv.1311.6428,
  title  = {Sudakov-type minoration for log-concave vectors},
  author = {Rafał Latała},
  journal= {arXiv preprint arXiv:1311.6428},
  year   = {2014}
}

Comments

27 pages, updated references and corrected typos

R2 v1 2026-06-22T02:14:34.021Z