Hyperuniform point sets on the sphere: probabilistic aspects

J. S. Brauchart; P. J. Grabner; W. B. Kusner; J. Ziefle

doi:10.1007/s00605-020-01439-y

Hyperuniform point sets on the sphere: probabilistic aspects

J. S. Brauchart, P. J. Grabner^*, W. B. Kusner, J. Ziefle

^*Corresponding author for this work

Institute of Analysis and Number Theory (5010)

Research output: Contribution to journal › Article › peer-review

Abstract

The concept of hyperuniformity has been introduced by Torquato and Stillinger in 2003 as a notion to detect structural behaviour intermediate between crystalline order and amorphous disorder. The present paper studies a generalisation of this concept to the unit sphere. It is shown that several well studied determinantal point processes are hyperuniform.

Original language	English
Pages (from-to)	763–781
Number of pages	19
Journal	Monatshefte für Mathematik
Volume	192
Issue number	4
DOIs	https://doi.org/10.1007/s00605-020-01439-y
Publication status	Published - 1 Aug 2020

Keywords

Determinantal point processes
Hyperuniformity
Jittered sampling

ASJC Scopus subject areas

General Mathematics

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10.1007/s00605-020-01439-y

https://arxiv.org/abs/1809.02645

Cite this

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abstract = "The concept of hyperuniformity has been introduced by Torquato and Stillinger in 2003 as a notion to detect structural behaviour intermediate between crystalline order and amorphous disorder. The present paper studies a generalisation of this concept to the unit sphere. It is shown that several well studied determinantal point processes are hyperuniform.",

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AU - Kusner, W. B.

AU - Ziefle, J.

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PY - 2020/8/1

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KW - Jittered sampling

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Hyperuniform point sets on the sphere: probabilistic aspects

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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