Jean-Morlet Chair 2020 - Workshop: Discrepancy Theory and Applications - Part 1 / Chaire Jean-Morlet 2020 - Workshop : Théorie de la discrépance et applications - Part 1

Collection Jean-Morlet Chair 2020 - Workshop: Discrepancy Theory and Applications - Part 1 / Chaire Jean-Morlet 2020 - Workshop : Théorie de la discrépance et applications - Part 1

Organisateur(s) Madritsch, Manfred ; Rivat, Joël ; Tichy, Robert

Date(s) 30/11/2020 - 01/12/2020

URL associée https://www.cirm-math.com/2257virtual.html

00:00:00 / 00:00:00

2 9

On the interplay between uniform distribution, discrepancy, and energy minimization

De Dmitriy Bilyk

Discrepancy and discrete energy are two of the most standard ways to measure the quality of the distribution of a finite point set, and it is very well known that there is strong interplay between these concepts. One particular important example of such interplay is the classical Stolarsky principle which ties together the pairwise sum of distances and the spherical cap discrepancy. In the current talk we shall survey various manifestations of this connection between discrepancy and energy minimization.

Informations sur la vidéo

Date de captation 30/11/2020
Date de publication 30/11/2020
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Audience Chercheurs
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.19681303
Citer cette vidéo Bilyk, Dmitriy (30/11/2020). On the interplay between uniform distribution, discrepancy, and energy minimization. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19681303
URL https://dx.doi.org/10.24350/CIRM.V.19681303

Domaine(s)

Analyse classique

Codes MSC

Document(s)

https://www.cirm-math.com/uploads/2/6/6/0/26605521/bilyk-cirm2020.pdf

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