English

Capacity of Lorentzian polynomials and distance to binomial distributions

Combinatorics 2021-07-09 v2

Abstract

In this paper we study the capacity of Lorentzian polynomials. We give a new proof of a theorem of Br\"and\'en, Leake and Pak. Our approach is probabilistic in nature and uses a lemma about a certain distance of binomial distributions to distributions with fixed expected value.

Keywords

Cite

@article{arxiv.2011.14406,
  title  = {Capacity of Lorentzian polynomials and distance to binomial distributions},
  author = {Ádám Schweitzer},
  journal= {arXiv preprint arXiv:2011.14406},
  year   = {2021}
}