English

Polarization and covering on sets of low smoothness

Classical Analysis and ODEs 2022-01-20 v2

Abstract

In this paper we study the asymptotic properties of point configurations that achieve optimal covering of sets lacking smoothness. Our results include the proofs of the existence of asymptotics of best covering and maximal polarization for dd-rectifiable sets and classical fractal sets.

Keywords

Cite

@article{arxiv.2106.11956,
  title  = {Polarization and covering on sets of low smoothness},
  author = {A. Anderson and A. Reznikov and O. Vlasiuk and E. White},
  journal= {arXiv preprint arXiv:2106.11956},
  year   = {2022}
}