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Ergodic measures for subshifts with eventually constant growth

De Jon Fickenscher

Apparaît dans les collections : Combinatorics on words / Combinatoire des mots, Exposés de recherche

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.

Informations sur la vidéo

Date de captation 17/03/2016
Date de publication 31/03/2016
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.18943903
Citer cette vidéo Fickenscher, Jon (17/03/2016). Ergodic measures for subshifts with eventually constant growth. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18943903
URL https://dx.doi.org/10.24350/CIRM.V.18943903

Domaine(s)

Bibliographie

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

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