Modified Paouris inequality
arXiv:1312.2529 · doi:10.1007/978-3-319-09477-9_19
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.
14 pages