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Ergodic measures for subshifts with eventually constant growth
Post-edited
Authors : Fickenscher, Jon (Author of the conference)
CIRM (Publisher )
37A25 - Ergodicity, mixing, rates of mixing
37B10 - Symbolic dynamics
68R15 - Combinatorics on words
CIRM (Publisher )
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| ergodic measures for subshifts interval exchange transformations bispecial words special Rauzy graphs nonstandard coloring questions of the audience |
Abstract :
We will consider (sub)shifts with complexity such that the difference from $n$ to $n+1$ is constant for all large $n$. The shifts that arise naturally from interval exchange transformations belong to this class. An interval exchange transformation on d intervals has at most $d/2$ ergodic probability measures. We look to establish the correct bound for shifts with constant complexity growth. To this end, we give our current bound and discuss further improvements when more assumptions are allowed. This is ongoing work with Michael Damron.
MSC Codes : 37A25 - Ergodicity, mixing, rates of mixing
37B10 - Symbolic dynamics
68R15 - Combinatorics on words
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 31/03/16 Conference Date : 17/03/16 Subseries : Research talks arXiv category : Dynamical Systems ; Combinatorics Mathematical Area(s) : Combinatorics ; Dynamical Systems & ODE ; Computer Science Format : MP4 (.mp4) - HD Video Time : 01:00:39 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2016-03-17_Fickenscher.mp4 
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Information on the Event
Event Title : Combinatorics on words / Combinatoire des motsEvent Organizers : Cassaigne, Julien ; Nowotka, Dirk Dates : 14/03/16 - 18/03/16 Event Year : 2016 Event URL : http://conferences.cirm-math.fr/1429.html
Citation Data
DOI : 10.24350/CIRM.V.18943903Cite this video as: Fickenscher, Jon (2016). Ergodic measures for subshifts with eventually constant growth. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18943903 URI : http://dx.doi.org/10.24350/CIRM.V.18943903 |
See Also
- [Multi angle] $k$-abelian singletons and Gray codes for Necklaces / Author of the conference Whiteland, Markus.
- [Multi angle] Avoiding $k$-abelian powers in words / Author of the conference Rao, Michaël.
- [Multi angle] $k$-abelian complexity and fluctuation / Author of the conference Saarela, Aleksi.
- [Multi angle] On $k$-abelian palindromes / Author of the conference Puzynina, Svetlana.
- [Multi angle] $k$-abelian equivalence: an equivalence relation in between the equality and the abelian equivalence / Author of the conference Karhumäki, Juhani.
Bibliography
- Damron, M., & Fickenscher, J. (2015). On the number of ergodic measures for minimal shifts with eventually constant complexity growth.
