Finite rank Bratteli-Vershik diagrams are expansive

Ergodic Theory And Dynamical Systems

dc.creatorDownarowichz, T.
dc.creatorMaass, A.
dc.date2019-12-18T18:15:26Z
dc.date2022-07-07T23:40:30Z
dc.date2019-12-18T18:15:26Z
dc.date2022-07-07T23:40:30Z
dc.date2008
dc.date.accessioned2023-08-21T23:06:19Z
dc.date.available2023-08-21T23:06:19Z
dc.identifier15000001
dc.identifier15000001
dc.identifierhttps://hdl.handle.net/10533/237415
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/8293525
dc.descriptionThe representation of Cantor minimal systems by Bratteli–Vershik diagrams has been extensively used to study particular aspects of their dynamics. A main role has been played by the symbolic factors induced by the way vertices of a fixed level of the diagram are visited by the dynamics. The main result of this paper states that Cantor minimal systems that can be represented by Bratteli–Vershik diagrams with a uniformly bounded number of vertices at each level (called finite-rank systems) are either expansive or topologically conjugate to an odometer. More precisely, when expansive, they are topologically conjugate to one of their symbolic factors.
dc.descriptionFONDAP
dc.descriptionFONDAP
dc.languageeng
dc.relationinstname: Conicyt
dc.relationreponame: Repositorio Digital RI2.0
dc.relationinfo:eu-repo/grantAgreement/Fondap/15000001
dc.relationhttps://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/finiterank-brattelivershik-diagrams-are-expansive/066E1CE5E7B7170FBEF6AEB2EC176913
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 Chile
dc.rightshttp://creativecommons.org/licenses/by-nc-nd/3.0/cl/
dc.rightsinfo:eu-repo/semantics/openAccess
dc.titleFinite rank Bratteli-Vershik diagrams are expansive
dc.titleErgodic Theory And Dynamical Systems
dc.typeArticulo
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


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