English

Order statistics and concentration of l_r norms for log-concave vectors

Probability 2014-09-19 v1 Functional Analysis

Abstract

We establish upper bounds for tails of order statistics of isotropic log-concave vectors and apply them to derive a concentration of l_r norms of such vectors.

Keywords

Cite

@article{arxiv.1011.6610,
  title  = {Order statistics and concentration of l_r norms for log-concave vectors},
  author = {Rafał Latała},
  journal= {arXiv preprint arXiv:1011.6610},
  year   = {2014}
}

Comments

17 pages