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On the interplay between uniform distribution, discrepancy, and energy minimization
Virtualconference
Authors : Bilyk, Dmitriy (Author of the conference)
CIRM (Publisher )
11K36 - Well-distributed sequences and other variations
11K38 - Irregularities of distribution, discrepancy
52C99 - None of the above but in this section
74G65 - Energy minimization
Additional resources :
https://www.cirm-math.com/uploads/2/6/6/0/26605521/bilyk-cirm2020.pdf
CIRM (Publisher )
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Abstract :
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
MSC Codes : 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
Additional resources :
https://www.cirm-math.com/uploads/2/6/6/0/26605521/bilyk-cirm2020.pdf
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 30/11/2020 Conference Date : 30/11/2020 Subseries : Research talks arXiv category : Classical Analysis and ODEs Mathematical Area(s) : Analysis and its Applications Format : MP4 (.mp4) - HD Video Time : 00:58:51 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2020-11-17_Bilyk.mp4 
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Information on the Event
Event Title : Jean-Morlet Chair 2020 - Workshop: Discrepancy Theory and Applications - Part 1 / Chaire Jean-Morlet 2020 - Workshop : Théorie de la discrépance et applications - Part 1Event Organizers : Madritsch, Manfred ; Rivat, Joël ; Tichy, Robert Dates : 30/11/2020 - 01/12/2020 Event Year : 2020 Event URL : https://www.cirm-math.com/2257virtual.html
Citation Data
DOI : 10.24350/CIRM.V.19681303Cite this video as: 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 |
See Also
- [Virtualconference] Greedy energy minimization and the van der Corput sequence (part 3) / Author of the conference Pausinger, Florian.
- [Virtualconference] Discrepancy of stratified samples from partitions of the unit cube (part 2) / Author of the conference Pausinger, Florian.
- [Virtualconference] Billiard orbits and geodesics in non-integrable flat dynamical systems (part 2) / Author of the conference Chen, William.
- [Virtualconference] Feynman Checkers: Number theory methods in quantum theory / Author of the conference Ustinov, Alexey ; Author of the conference Skopenkov, Mikhail.
- [Virtualconference] Pick's theorem and Riemann sums: a Fourier analytic tale / Author of the conference Travaglini, Giancarlo.
- [Virtualconference] On two different topics in discrepancy theory: From the discrepancy of stratified samples to greedy energy minimization (part 1) / Author of the conference Pausinger, Florian.
- [Virtualconference] Billiard orbits and geodesics in non-integrable flat dynamical systems (part 1) / Author of the conference Chen, William.
- [Virtualconference] Local and global statistics for point sequences / Author of the conference Aistleitner, Christoph.
Bibliography
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