Polarization and covering on sets of low smoothness

2021/06/22 by Austin Anderson, Alexander Reznikov, Anderson, A. +5 · 1 citation
Mathematics · Computer Science · #Mathematical Approximation and Integration #Mathematical Dynamics and Fractals #Digital Image Processing Techniques

paper · pdf · doi:10.48550/arxiv.2106.11956

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.

Citations

• Minimal Riesz energy point configurations for rectifiable d -dimensional manifolds

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