Français
Around Cobham's theorem
Multi angle
Authors : Krawczyk, Elzbieta (Author of the conference)
CIRM (Publisher )
11B85 - Automata sequences
37B10 - Symbolic dynamics
68R15 - Combinatorics on words
CIRM (Publisher )
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Abstract :
We provide a complete characterisation of automaticity of uniformly recurrent substitutive sequences in terms of the incidence matrix of the return substitution of an underlying purely substitutive sequence. This gives an answer to a recent question of Allouche, Dekking and Queffélec in the uniformly recurrent case.
Keywords : automatic sequence; substitutive sequence
MSC Codes : Keywords : automatic sequence; substitutive sequence
11B85 - Automata sequences
37B10 - Symbolic dynamics
68R15 - Combinatorics on words
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Information on the Video
Film maker : Récanzone, LucaLanguage : English Available date : 22/03/2024 Conference Date : 29/02/2024 Subseries : Research talks arXiv category : Number Theory Mathematical Area(s) : Combinatorics Format : MP4 (.mp4) - HD Video Time : 00:41:35 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2024-02-29_Krawczyk.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.20146303Cite this video as: Krawczyk, Elzbieta (2024). Around Cobham's theorem. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20146303 URI : http://dx.doi.org/10.24350/CIRM.V.20146303 |
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] Algebraic automatic continued fractions in characteristic 2 / Author of the conference Hu, Yining.
- [Multi angle] String attractors of Rote sequences / Author of the conference Hendrychová, Veronika.
Bibliography
- KRAWCZYK, Elżbieta et MÜLLNER, Clemens. Automaticity of uniformly recurrent substitutive sequences. arXiv preprint arXiv:2111.13134, 2021. - https://doi.org/10.48550/arXiv.2111.13134
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