English
On the interplay between uniform distribution, discrepancy, and energy minimization
Virtualconference
Auteurs : Bilyk, Dmitriy (Auteur de la Conférence)
CIRM (Editeur )
11K36 - Well-distributed sequences and other variations
11K38 - Irregularities of distribution, discrepancy
52C99 - None of the above but in this section
74G65 - Energy minimization
Ressources complémentaires :
https://www.cirm-math.com/uploads/2/6/6/0/26605521/bilyk-cirm2020.pdf
CIRM (Editeur )
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Résumé :
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.
Keywords : discrepancy; energy minimization; positive-definite functions
Codes MSC : Keywords : discrepancy; energy minimization; positive-definite functions
11K36 - Well-distributed sequences and other variations
11K38 - Irregularities of distribution, discrepancy
52C99 - None of the above but in this section
74G65 - Energy minimization
Ressources complémentaires :
https://www.cirm-math.com/uploads/2/6/6/0/26605521/bilyk-cirm2020.pdf
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 30/11/2020 Date de captation : 30/11/2020 Sous collection : Research talks arXiv category : Classical Analysis and ODEs Domaine : Analysis and its Applications Format : MP4 (.mp4) - HD Durée : 00:58:51 Audience : Researchers Download : https://videos.cirm-math.fr/2020-11-17_Bilyk.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Jean-Morlet Chair 2020 - Workshop: Discrepancy Theory and Applications - Part 1 / Chaire Jean-Morlet 2020 - Workshop : Théorie de la discrépance et applications - Part 1Organisateurs de la rencontre : Madritsch, Manfred ; Rivat, Joël ; Tichy, Robert Dates : 30/11/2020 - 01/12/2020 Année de la rencontre : 2020 URL Congrès : https://www.cirm-math.com/2257virtual.html
Données de citation
DOI : 10.24350/CIRM.V.19681303Citer cette vidéo: Bilyk, Dmitriy (2020). On the interplay between uniform distribution, discrepancy, and energy minimization. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19681303 URI : http://dx.doi.org/10.24350/CIRM.V.19681303 |
Voir aussi
- [Virtualconference] Greedy energy minimization and the van der Corput sequence (part 3) / Auteur de la Conférence Pausinger, Florian.
- [Virtualconference] Discrepancy of stratified samples from partitions of the unit cube (part 2) / Auteur de la Conférence Pausinger, Florian.
- [Virtualconference] Billiard orbits and geodesics in non-integrable flat dynamical systems (part 2) / Auteur de la Conférence Chen, William.
- [Virtualconference] Feynman Checkers: Number theory methods in quantum theory / Auteur de la Conférence Ustinov, Alexey ; Auteur de la Conférence Skopenkov, Mikhail.
- [Virtualconference] Pick's theorem and Riemann sums: a Fourier analytic tale / Auteur de la Conférence Travaglini, Giancarlo.
- [Virtualconference] On two different topics in discrepancy theory: From the discrepancy of stratified samples to greedy energy minimization (part 1) / Auteur de la Conférence Pausinger, Florian.
- [Virtualconference] Billiard orbits and geodesics in non-integrable flat dynamical systems (part 1) / Auteur de la Conférence Chen, William.
- [Virtualconference] Local and global statistics for point sequences / Auteur de la Conférence Aistleitner, Christoph.
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