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Independence of actions of (N,+) and (N,×) and Sarnak's Möbius disjointness conjecture
Virtualconference
Authors : Bergelson, Vitaly (Author of the conference)
CIRM (Publisher )
11J71 - Distribution modulo one
11N99 - None of the above but in this section
37A45 - Relations of ergodic theory with number theory and harmonic analysis
CIRM (Publisher )
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Abstract :
We will discuss a new type of ergodic theorem which has among its corollaries numerous classical results from multiplicative number theory, including the Prime Number Theorem, a theorem of Pillai-Selberg and a theorem of Erdös-Delange. This ergodic approach leads to a new dynamical framework for a general form of Sarnak's Möbius disjointness conjecture which focuses on the "joint independence" of actions of (N,+) and (N,x). The talk is based on recent joint work with Florian Richter.
MSC Codes : 11J71 - Distribution modulo one
11N99 - None of the above but in this section
37A45 - Relations of ergodic theory with number theory and harmonic analysis
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 01/12/2020 Conference Date : 26/11/2020 Subseries : Research talks arXiv category : Dynamical Systems ; Number Theory Mathematical Area(s) : Dynamical Systems & ODE ; Number Theory Format : MP4 (.mp4) - HD Video Time : 00:58:16 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2020-11-26_Bergelson.mp4 
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Information on the Event
Event Title : Jean-Morlet Chair 2020 - Conference: Diophantine Problems, Determinism and Randomness / Chaire Jean-Morlet 2020 - Conférence : Problèmes diophantiens, déterminisme et aléatoireEvent Organizers : Rivat, Joël ; Tichy, Robert Dates : 23/11/2020 - 27/11/2020 Event Year : 2020 Event URL : https://www.chairejeanmorlet.com/2256.html
Citation Data
DOI : 10.24350/CIRM.V.19686003Cite this video as: Bergelson, Vitaly (2020). Independence of actions of (N,+) and (N,×) and Sarnak's Möbius disjointness conjecture. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19686003 URI : http://dx.doi.org/10.24350/CIRM.V.19686003 |
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Bibliography
- BERGELSON, Vitaly et RICHTER, Florian K. Dynamical generalizations of the Prime Number Theorem and disjointness of additive and multiplicative semigroup actions. arXiv preprint arXiv:2002.03498, 2020. - https://arxiv.org/abs/2002.03498
