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Nilpotent endomorphisms of expansive group actions
Virtualconference
Authors : Salo, Ville (Author of the conference)
CIRM (Publisher )
37B05 - Transformations and group actions with special properties (minimality, distality, proximality, etc.)
37B15 - Cellular automata
54H15 - Transformation groups and semigroups, See also {20M20, 22-XX, 57Sxx}
Additional resources :
https://www.cirm-math.fr/RepOrga/2313/Slides/Salo.pdf
CIRM (Publisher )
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Abstract :
We say a pointed dynamical system is asymptotically nilpotent if every point tends to zero. We study group actions whose endomorphism actions are nilrigid, meaning that for all asymptotically nilpotent endomorphisms the convergence to zero is uniform. We show that this happens for a large class of expansive group actions on a large class of groups. The main examples are cellular automata on subshifts of finite type.
Keywords : group action; expansivity; nilpotency; cellular automata
MSC Codes : Keywords : group action; expansivity; nilpotency; cellular automata
37B05 - Transformations and group actions with special properties (minimality, distality, proximality, etc.)
37B15 - Cellular automata
54H15 - Transformation groups and semigroups, See also {20M20, 22-XX, 57Sxx}
Additional resources :
https://www.cirm-math.fr/RepOrga/2313/Slides/Salo.pdf
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 26/01/2021 Conference Date : 12/01/2021 Subseries : Research talks arXiv category : Dynamical Systems ; Group Theory Mathematical Area(s) : Dynamical Systems & ODE Format : MP4 (.mp4) - HD Video Time : 00:53:22 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2021-01-12_Sallo.mp4 
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Information on the Event
Event Title : Algebraic and Combinatorial Invariants of Subshifts and Tilings / Invariants combinatoires et algébriques des décalages et des pavagesEvent Organizers : Berthé, Valérie ; Cortez, Maria-Isabel ; Durand, Fabien ; Hosseini, Maryam ; Petite, Samuel Dates : 11/01/2021 - 15/01/2021 Event Year : 2021 Event URL : https://conferences.cirm-math.fr/2313.html
Citation Data
DOI : 10.24350/CIRM.V.19697703Cite this video as: Salo, Ville (2021). Nilpotent endomorphisms of expansive group actions. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19697703 URI : http://dx.doi.org/10.24350/CIRM.V.19697703 |
See Also
- [Multi angle] Interview au Cirm : Fabien Durand & Samuel Petite / Interviewee Durand, Fabien ; Interviewee Petite, Samuel.
- [Multi angle] Confined subgroups and high transitivity / Author of the conference Matte Bon, Nicolás.
- [Virtualconference] Rotated odometers / Author of the conference Lukina, Olga.
- [Virtualconference] Number of ergodic and generic measures for minimal subshifts / Author of the conference Fickenscher, Jon.
- [Virtualconference] Recent developments in finite rank systems / Author of the conference Donoso, Sebastián.
Bibliography
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- GUILLON, Pierre et RICHARD, Gaétan. Nilpotency and limit sets of cellular automata. In : International Symposium on Mathematical Foundations of Computer Science. Springer, Berlin, Heidelberg, 2008. p. 375-386. - https://doi.org/10.1007/978-3-540-85238-4_30
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