FrançaisNon-normal sets
Multi angle
Authors : Queffélec, Martine (Author of the conference)
CIRM (Publisher )
11Jxx - Diophantine approximation, transcendental number theory, See also {11K60}
11Kxx - "Probabilistic theory: distribution modulo $1$; metric theory of algorithms"
37EXX - low-dimensional dynamical systems
Additional resources :
https://www.cirm-math.fr/RepOrga/2077/Slides/Queffelec.pdf
CIRM (Publisher )
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Abstract :
The talk will have two main parts:
At the beginning of his mathematical career, Christian inherits from his advisor, Gérard Rauzy, some appetite for distributions of arithmetical sequences, with a special interest for those obtained by simple algorithmic constructions. I will discuss his result on “normal sets associated with substitutions" [?] and continue with recent developments and open questions on sets of non-normal numbers, in a more general setting.
We have written 48 joint papers with Christian. As a tribute to his memory I will present a short survey of our most important papers and recall some of the memorable moments of our cooperation.
Keywords : equidistribution; substitution; algebraic number
MSC Codes : At the beginning of his mathematical career, Christian inherits from his advisor, Gérard Rauzy, some appetite for distributions of arithmetical sequences, with a special interest for those obtained by simple algorithmic constructions. I will discuss his result on “normal sets associated with substitutions" [?] and continue with recent developments and open questions on sets of non-normal numbers, in a more general setting.
We have written 48 joint papers with Christian. As a tribute to his memory I will present a short survey of our most important papers and recall some of the memorable moments of our cooperation.
Keywords : equidistribution; substitution; algebraic number
11Jxx - Diophantine approximation, transcendental number theory, See also {11K60}
11Kxx - "Probabilistic theory: distribution modulo $1$; metric theory of algorithms"
37EXX - low-dimensional dynamical systems
Additional resources :
https://www.cirm-math.fr/RepOrga/2077/Slides/Queffelec.pdf
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Information on the Video
Language : FrenchAvailable date : 03/12/2019 Conference Date : 07/11/2019 Subseries : Research talks arXiv category : Number Theory Mathematical Area(s) : Number Theory Format : MP4 (.mp4) - HD Video Time : 00:30:08 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2019-11-07_Queffelec.mp4 
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Information on the Event
Event Title : Prime Numbers, Determinism and Pseudorandomness / Nombres premiers, déterminisme et pseudoaléaEvent Organizers : Dartyge, Cécile ; Drmota, Michael ; Ferenczi, Sébastien ; Lemanczyk, Mariusz ; Rivat, Joël Dates : 04/11/2019 - 08/11/2019 Event Year : 2019 Event URL : https://conferences.cirm-math.fr/2077.html
Citation Data
DOI : 10.24350/CIRM.V.19576503Cite this video as: Queffélec, Martine (2019). Non-normal sets. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19576503 URI : http://dx.doi.org/10.24350/CIRM.V.19576503 |
Bibliography
- CHRISTOL, Gilles, KAMAE, Teturo, MENDÈS FRANCE, Michel, et al. Suites algébriques, automates et substitutions. Bulletin de la Société mathématique de France, 1980, vol. 108, p. 401-419. - http://www.numdam.org/item?id=BSMF_1980__108__401_0
