Polarization and covering on sets of low smoothness

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 $d$-rectifiable sets and classical fractal sets.

References in corpus (1)

• Asymptotic properties of short-range interaction functionals

Cited by in corpus (1)

• Sphere packing bounds via rescaling