Abstract
We present our recent work on the Diamond ensemble, a constructive family of points on ${\mathbb{S}^2}$ defined in [1]. Among the various characteristic of the Diamond ensemble we stand out that every set of points of the family is described by very simple formulas and that we can compute analytically also the expectation of the logarithmic energy of those sets of points. The value that we obtain for the logarithmic energy is by far, among the ones that have been proved for constructible sequences, the minimal to the date (see [2]).
Originalsprache | englisch |
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Titel | 2019 13th International Conference on Sampling Theory and Applications (SampTA) |
Herausgeber (Verlag) | Institute of Electrical and Electronics Engineers |
Seitenumfang | 4 |
ISBN (Print) | 9781728137414 |
DOIs | |
Publikationsstatus | Veröffentlicht - Juli 2019 |
Veranstaltung | 13th International Conference on Sampling Theory and Applications - Bordeaux, Frankreich Dauer: 8 Juli 2019 → 12 Juli 2019 |
Konferenz
Konferenz | 13th International Conference on Sampling Theory and Applications |
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Kurztitel | SampTA 2019 |
Land/Gebiet | Frankreich |
Ort | Bordeaux |
Zeitraum | 8/07/19 → 12/07/19 |