The Diamond ensemble: a well distributed family of points on S2

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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]).
Original languageEnglish
Title of host publication2019 13th International Conference on Sampling Theory and Applications (SampTA)
PublisherInstitute of Electrical and Electronics Engineers
Number of pages4
ISBN (Print)9781728137414
DOIs
Publication statusPublished - Jul 2019
Event13th International Conference on Sampling Theory and Applications - Bordeaux, France
Duration: 8 Jul 201912 Jul 2019

Conference

Conference13th International Conference on Sampling Theory and Applications
Abbreviated titleSampTA 2019
CountryFrance
CityBordeaux
Period8/07/1912/07/19

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    Etayo Rodriguez, M. D. U., & Beltran, C. (2019). The Diamond ensemble: a well distributed family of points on S2. In 2019 13th International Conference on Sampling Theory and Applications (SampTA) Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/sampta45681.2019.9031002