English

An improved upper bound on the number of billiard ball collisions

Dynamical Systems 2022-01-19 v2

Abstract

We give a new upper bound K+K_+ on the number of totally elastic collisions of nn hard spheres with equal radii and equal masses in RdR^d. Our bound satisfies logK+c(d)nlogn\log K_+ \leq c(d) n \log n.

Keywords

Cite

@article{arxiv.2107.10362,
  title  = {An improved upper bound on the number of billiard ball collisions},
  author = {Krzysztof Burdzy},
  journal= {arXiv preprint arXiv:2107.10362},
  year   = {2022}
}

Comments

arXiv admin note: text overlap with arXiv:1804.04650