English
Local and global statistics for point sequences
Virtualconference
Auteurs : Aistleitner, Christoph (Auteur de la conférence)
CIRM (Editeur )
11J54 - Small fractional parts of polynomials and generalizations
11J71 - Distribution modulo one
11K06 - General theory of distribution modulo 1
CIRM (Editeur )
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Résumé :
We recall some classical results for uniform distribution modulo one, and relate them with their counterparts in the "localized" setting of correlation functions and gap statistics. We discuss the difficulties arising from the localized setting, with a particular emphasis on questions concerning the almost everywhere behavior of parametric sequences. It turns out that in this metric setting one is naturally led to a Diophantine counting problem, which has interesting connections to additive combinatorics and to moment bounds for the Riemann zeta function.
Mots-Clés : uniform distribution; pair correlation
Codes MSC : Mots-Clés : uniform distribution; pair correlation
11J54 - Small fractional parts of polynomials and generalizations
11J71 - Distribution modulo one
11K06 - General theory of distribution modulo 1
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Informations sur la Vidéo
Réalisateur : Aistleitner, ChristophLangue : Anglais Date de Publication : 30/11/2020 Date de Captation : 30/11/2020 Sous Collection : Research talks Catégorie arXiv : Number Theory Domaine(s) : Théorie des Nombres Format : MP4 (.mp4) - HD Durée : 00:57:52 Audience : Chercheurs Download : https://videos.cirm-math.fr/2020-11-19_Aistleitner.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 de la Rencontre : https://www.cirm-math.com/2257virtual.html
Données de citation
DOI : 10.24350/CIRM.V.19681203Citer cette vidéo: Aistleitner, Christoph (2020). Local and global statistics for point sequences. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19681203 URI : http://dx.doi.org/10.24350/CIRM.V.19681203 |
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Bibliographie
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