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Algebraic automatic continued fractions in characteristic 2
Multi angle
Authors : Hu, Yining (Author of the conference)
CIRM (Publisher )
11A55 - Continued fractions, {For approximation results, See 11J70; See also 11K50, 30B70, 40A15}
11B85 - Automata sequences
11J70 - Continued fractions and generalizations
13F25 - Formal power series rings, See also {13J05}
CIRM (Publisher )
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Abstract :
We present two families of automatic sequences that define algebraic continued fractions in charasteristic 2.
Keywords : algebracity; formal power series; automata; conformal fraction
MSC Codes : Keywords : algebracity; formal power series; automata; conformal fraction
11A55 - Continued fractions, {For approximation results, See 11J70; See also 11K50, 30B70, 40A15}
11B85 - Automata sequences
11J70 - Continued fractions and generalizations
13F25 - Formal power series rings, See also {13J05}
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Information on the Video
Film maker : Récanzone, LucaLanguage : English Available date : 22/03/2024 Conference Date : 27/02/2024 Subseries : Research talks arXiv category : Number Theory ; Combinatorics Mathematical Area(s) : Algebra ; Combinatorics ; Number Theory Format : MP4 (.mp4) - HD Video Time : 00:40:34 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2024-02-27_Hu.mp4 
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Information on the Event
Event Title : Combinatorics on words / Combinatoire des mots - Week 5Event Organizers : Andrieu, Mélodie ; Ben Ramdhane, Firas ; Cassaigne, Julien ; Frid, Anna Dates : 26/02/2024 - 01/03/2024 Event Year : 2024 Event URL : https://conferences.cirm-math.fr/3152.html
Citation Data
DOI : 10.24350/CIRM.V.20146103Cite this video as: Hu, Yining (2024). Algebraic automatic continued fractions in characteristic 2. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20146103 URI : http://dx.doi.org/10.24350/CIRM.V.20146103 |
See Also
- [Multi angle] A reasonably-sized morphism giving Abelian critical exponent less than 2 / Author of the conference Currie, James D..
- [Multi angle] Thue choice number and the counting argument / Author of the conference Rosenfeld, Matthieu.
- [Multi angle] Around Cobham's theorem / Author of the conference Krawczyk, Elzbieta.
- [Multi angle] String attractors of Rote sequences / Author of the conference Hendrychová, Veronika.
Bibliography
- HU, Yining. Algebraic automatic continued fractions in characteristic $2 $ II. arXiv preprint arXiv:2301.09958, 2023. - https://doi.org/10.48550/arXiv.2301.09958
Imagette Video
