Description
Hyperuniformity was introduced by Torquato and Stillinger as a concept to measure the occurrence of “intermediate” order between crystalline order and total disorder. Such configurations Xoccur in jammed packings, in colloids, as well as in quasi–crystals. The main feature of hyperuniformity is the fact that local density fluctuations (“number variance”) are of smaller order than for an i.i.d. random (“Poissonian”) point configuration.
In recent work with Peter Grabner (Graz University of Technology), Woden Kusner (Vanderbilt University) and Jonas Ziefle (University of Tűbingen), we introduced the notion of hyperuniformity for sequences of finite point sets on the sphere. We identified three regimes of hyperuniformity. Several deterministically given point sets such as designs, QMC–designs, and certain energy minimising point sets exhibit hyperuniform behaviour.
We also considered hyperuniformity on the sphere for samples of point processes on the sphere.
Period | 6 Oct 2018 |
---|---|
Event title | Midwestern Workshop on Asymptotic Analysis |
Event type | Conference |
Location | Bloomington, United States, IndianaShow on map |
Degree of Recognition | International |
Fields of Expertise
- Information, Communication & Computing
Treatment code (Nähere Zuordnung)
- Basic - Fundamental (Grundlagenforschung)
Documents & Links
Related content
-
Activities
-
Midwestern Workshop on Asymptotic Analysis
Activity: Participation in or organisation of › Conference or symposium (Participation in/Organisation of)
-
Projects