English

Modified Paouris inequality

Probability 2014-11-17 v1 Metric Geometry

Abstract

The Paouris inequality gives the large deviation estimate for Euclidean norms of log-concave vectors. We present a modified version of it and show how the new inequality may be applied to derive tail estimates of l_r-norms and suprema of norms of coordinate projections of isotropic log-concave vectors.

Keywords

Cite

@article{arxiv.1312.2529,
  title  = {Modified Paouris inequality},
  author = {Rafał Latała},
  journal= {arXiv preprint arXiv:1312.2529},
  year   = {2014}
}

Comments

14 pages

R2 v1 2026-06-22T02:23:56.772Z