English
Ergodic measures for subshifts with eventually constant growth
Post-edited
Auteurs : Fickenscher, Jon (Auteur de la Conférence)
CIRM (Editeur )
37A25 - Ergodicity, mixing, rates of mixing
37B10 - Symbolic dynamics
68R15 - Combinatorics on words
CIRM (Editeur )
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| ergodic measures for subshifts interval exchange transformations bispecial words special Rauzy graphs nonstandard coloring questions of the audience |
Résumé :
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.
Codes MSC : 37A25 - Ergodicity, mixing, rates of mixing
37B10 - Symbolic dynamics
68R15 - Combinatorics on words
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 31/03/16 Date de captation : 17/03/16 Sous collection : Research talks arXiv category : Dynamical Systems ; Combinatorics Domaine : Combinatorics ; Dynamical Systems & ODE ; Computer Science Format : MP4 (.mp4) - HD Durée : 01:00:39 Audience : Researchers Download : https://videos.cirm-math.fr/2016-03-17_Fickenscher.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Combinatorics on words / Combinatoire des motsOrganisateurs de la rencontre : Cassaigne, Julien ; Nowotka, Dirk Dates : 14/03/16 - 18/03/16 Année de la rencontre : 2016 URL Congrès : http://conferences.cirm-math.fr/1429.html
Données de citation
DOI : 10.24350/CIRM.V.18943903Citer cette vidéo: 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 |
Voir aussi
- [Multi angle] $k$-abelian singletons and Gray codes for Necklaces / Auteur de la Conférence Whiteland, Markus.
- [Multi angle] Avoiding $k$-abelian powers in words / Auteur de la Conférence Rao, Michaël.
- [Multi angle] $k$-abelian complexity and fluctuation / Auteur de la Conférence Saarela, Aleksi.
- [Multi angle] On $k$-abelian palindromes / Auteur de la Conférence Puzynina, Svetlana.
- [Multi angle] $k$-abelian equivalence: an equivalence relation in between the equality and the abelian equivalence / Auteur de la Conférence Karhumäki, Juhani.
Bibliographie
- Damron, M., & Fickenscher, J. (2015). On the number of ergodic measures for minimal shifts with eventually constant complexity growth.
