On the isotropy constant of projections of polytopes

David Alonso-Gutiérrez; Jesús Bastero; Julio Bernués; Paweł Wolff

On the isotropy constant of projections of polytopes

Functional Analysis 2009-04-20 v1 Metric Geometry

Authors: David Alonso-Gutiérrez , Jesús Bastero , Julio Bernués , Paweł Wolff

Abstract

The isotropy constant of any $d$ -dimensional polytope with $n$ vertices is bounded by $C \sqrt{n/d}$ where $C>0$ is a numerical constant.

Keywords

isotropy constant polytope projection vertex number dimension numerical constant

Cite

@article{arxiv.0904.2632,
  title  = {On the isotropy constant of projections of polytopes},
  author = {David Alonso-Gutiérrez and Jesús Bastero and Julio Bernués and Paweł Wolff},
  journal= {arXiv preprint arXiv:0904.2632},
  year   = {2009}
}