Artículo de revista
Finite-rank Bratteli-Vershik diagrams are expansive
Fecha
2008-06Registro en:
ERGODIC THEORY AND DYNAMICAL SYSTEMS Volume: 28 Pages: 739-747 Part: Part 3 Published: JUN 2008
0143-3857
10.1017/S0143385707000673
Autor
Downarowicz, Tomasz
Maass Sepúlveda, Alejandro
Institución
Resumen
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.