Spherical Fibonacci Points: Hyperuniformity, and more

Activity: Talk or presentation › Invited talk at conference or symposium › Science to science

Description

Invited short talk in Point configurations on curves and surfaces and related energy problems (Minisymposium 10 organised by Doug Hardin and Alex Vlasiuk)

Abstract: One way of explicitly constructing point sets on the unit sphere in $\mathbb{R}^3$ is to map a suitable set in the unit square to the sphere by means of an area-preserving Lambert transformation.

Using the example of the Fibonacci lattice in the unit square, we study properties of its spherical analogue.

In particular, we consider hyperuniformity aspects.

Joint work with Josef Dick (UNSW) and Yuan Xu (University of Oregon).
Period22 Jun 2022
Event title10th International Conference on Curves and Surfaces: CS 2022
Event typeConference
LocationArcachon, FranceShow on map
Degree of RecognitionInternational

Keywords

  • Fibonacci lattice
  • Discrepancy
  • Sphere
  • Hyperuniformity

Fields of Expertise

  • Information, Communication & Computing

Treatment code (Nähere Zuordnung)

  • Basic - Fundamental (Grundlagenforschung)
  • Theoretical
  • Application

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