Finite-rank Bratteli-Vershik diagrams are expansive

Author	dc.contributor.author	Downarowicz, Tomasz
Author	dc.contributor.author	Maass Sepúlveda, Alejandro	es_CL
Admission date	dc.date.accessioned	2010-01-18T12:28:12Z
Available date	dc.date.available	2010-01-18T12:28:12Z
Publication date	dc.date.issued	2008-06
Cita de ítem	dc.identifier.citation	ERGODIC THEORY AND DYNAMICAL SYSTEMS Volume: 28 Pages: 739-747 Part: Part 3 Published: JUN 2008	en_US
Identifier	dc.identifier.issn	0143-3857
Identifier	dc.identifier.other	10.1017/S0143385707000673
Identifier	dc.identifier.uri	https://repositorio.uchile.cl/handle/2250/125153
Abstract	dc.description.abstract	The 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.	en_US
Lenguage	dc.language.iso	en	en_US
Publisher	dc.publisher	CAMBRIDGE UNIV PRESS	en_US
Keywords	dc.subject	SYSTEMS	en_US
Título	dc.title	Finite-rank Bratteli-Vershik diagrams are expansive	en_US
Document type	dc.type	Artículo de revista