English

Discrete variants of Brunn-Minkowski type inequalities

Metric Geometry 2020-07-27 v4 Probability

Abstract

We present an alternative, short proof of a recent discrete version of the Brunn-Minkowski inequality due to Lehec and the second named author. Our proof also yields the four functions theorem of Ahlswede and Daykin as well as some new variants.

Keywords

Cite

@article{arxiv.1911.04392,
  title  = {Discrete variants of Brunn-Minkowski type inequalities},
  author = {Diana Halikias and Bo'az Klartag and Boaz A. Slomka},
  journal= {arXiv preprint arXiv:1911.04392},
  year   = {2020}
}

Comments

12 pages