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H 2 Ergodic measures for subshifts with eventually constant growth

Auteurs : Fickenscher, Jon (Auteur de la Conférence)
CIRM (Editeur )

 Loading the player... 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

 Informations sur la Vidéo Langue : Anglais Date de publication : 31/03/16 Date de captation : 17/03/16 Collection : Research talks ; Combinatorics ; Computer Science ; Dynamical Systems and Ordinary Differential Equations Format : MP4 (.mp4) - HD Durée : 01:00:39 Domaine : Combinatorics ; Dynamical Systems & ODE ; Computer Science Audience : Chercheurs ; Doctorants , Post - Doctorants Download : https://videos.cirm-math.fr/2016-03-17_Fickenscher.mp4 Informations sur la rencontre Nom de la rencontre : Combinatorics on words / Combinatoire des motsOrganisateurs de la rencontre : Cassaigne, Julien ; Nowotka, DirkDates : 14/03/16 - 18/03/16 Année de la rencontre : 2016 URL Congrès : http://conferences.cirm-math.fr/1429.html Citation Data DOI : 10.24350/CIRM.V.18943903 Cite 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

### Voir aussi

Bibliographie

• Damron, M., & Fickenscher, J. (2015). On the number of ergodic measures for minimal shifts with eventually constant complexity growth. - http://arxiv.org/abs/1508.05952

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