Discrepancy and Hyperuniformity of point set sequences: practical aspects

Brauchart, J. (Speaker)

Activity: Talk or presentationInvited talk at conference or symposiumScience to science

Description

In Minisymposium "Multivariate Orthogonal Polynomials: Theory and Applications"

Given is a sequence of point sets on a compact set, say unit sphere or a flat torus, arising from certain optimization procedures, deterministic constructions, or random point processes. How uniformly are those sets distributed as the sets get larger? Discrepancy measures the deviation from uniformity and hyperuniformity gives a qualitative scale for fluctuations in uniformity as the number of points tends to infinity. We apply multivariate orthogonal polynomials to estimate discrepancy and characterize hyperuniformity.
Period17 Jul 2019
Held atInternational Congress on Industrial and Applied Mathematics
Event typeConference
LocationValencia, Spain
Degree of RecognitionInternational

Keywords

  • Information, Communication & Computing
  • Basic - Fundamental (Grundlagenforschung)