Hyperuniform point sets on the sphere: probabilistic aspects

被引：13

作者：

Brauchart, Johann S. ^{[1
]}

Grabner, Peter J. ^{[1
]}

Kusner, Woeden ^{[2
]}

Ziefle, Jonas ^{[3
]}

机构：

[1] Graz Univ Technol, Inst Anal & Number Theory, Kopernikusgasse 24, A-8010 Graz, Austria

[2] Vanderbilt Univ, Dept Math, 1326 Stevenson Ctr, Nashville, TN 37240 USA

[3] Fachbereich Math, Morgenstelle 10, D-72076 Tubingen, Germany

来源：

MONATSHEFTE FUR MATHEMATIK | 2020年 / 192卷 / 04期

基金：

美国国家科学基金会;

关键词：

Hyperuniformity; Determinantal point processes; Jittered sampling; ENERGY;

D O I：

10.1007/s00605-020-01439-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：763 / 781

页数：19

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