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

Maria de Ujue Etayo Rodriguez; Carlos Beltran

doi:10.1109/sampta45681.2019.9031002

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

Maria de Ujue Etayo Rodriguez, Carlos Beltran

Institute of Analysis and Number Theory (5010)

Research output: Chapter in Book/Report/Conference proceeding › Conference paper › peer-review

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 language	English
Title of host publication	2019 13th International Conference on Sampling Theory and Applications (SampTA)
Publisher	Institute of Electrical and Electronics Engineers
Number of pages	4
ISBN (Print)	9781728137414
DOIs	https://doi.org/10.1109/sampta45681.2019.9031002
Publication status	Published - Jul 2019
Event	13th International Conference on Sampling Theory and Applications - Bordeaux, France Duration: 8 Jul 2019 → 12 Jul 2019

Conference

Conference	13th International Conference on Sampling Theory and Applications
Abbreviated title	SampTA 2019
Country/Territory	France
City	Bordeaux
Period	8/07/19 → 12/07/19

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10.1109/sampta45681.2019.9031002

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Etayo Rodriguez, MDU & 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, 13th International Conference on Sampling Theory and Applications , Bordeaux, France, 8/07/19. https://doi.org/10.1109/sampta45681.2019.9031002

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title = "The Diamond ensemble: a well distributed family of points on S2",

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]).",

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AB - 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]).

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DO - 10.1109/sampta45681.2019.9031002

M3 - Conference paper

SN - 9781728137414

BT - 2019 13th International Conference on Sampling Theory and Applications (SampTA)

PB - Institute of Electrical and Electronics Engineers

T2 - 13th International Conference on Sampling Theory and Applications

Y2 - 8 July 2019 through 12 July 2019

ER -

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

Abstract

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