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Recent developments in finite rank systems

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Virtualconference
Authors : Donoso, Sebastián (Author of the conference)
CIRM (Publisher )

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Abstract : I will comment on recent results concerning the topological properties of finite rank Cantor minimal systems. I will mention some ideas to estimate their word complexity and ask a few open problems.

Keywords : S-adic subshifts; minimal Cantor systems; finite topological rank; recognizability; complexity

MSC Codes :
37B10 - Symbolic dynamics
37B20 - Notions of recurrence
54H20 - Topological dynamics, See also {28Dxx, 34C35, 58Fxx}

Additional resources :
https://www.cirm-math.fr/RepOrga/2313/Slides/Donoso-CIRM.pdf

    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 26/01/2021
    Conference Date : 11/01/2021
    Subseries : Research talks
    arXiv category : Combinatorics ; Dynamical Systems
    Mathematical Area(s) : Combinatorics ; Dynamical Systems & ODE
    Format : MP4 (.mp4) - HD
    Video Time : 01:02:38
    Targeted Audience : Researchers
    Download : https://videos.cirm-math.fr/2021-01-11_Donoso.mp4

Information on the Event

Event Title : Algebraic and Combinatorial Invariants of Subshifts and Tilings / Invariants combinatoires et algébriques des décalages et des pavages
Event 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.19697003
Cite this video as: Donoso, Sebastián (2021). Recent developments in finite rank systems. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19697003
URI : http://dx.doi.org/10.24350/CIRM.V.19697003

See Also

Bibliography

  • DONOSO, Sebastián, DURAND, Fabien, MAASS, Alejandro, et al. Interplay between finite topological rank minimal Cantor systems, $\mathcal S $-adic subshifts and their complexity. arXiv preprint arXiv:2003.06328, 2020. - https://arxiv.org/abs/2003.06328



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