Articulo
Finite rank Bratteli-Vershik diagrams are expansive
Ergodic Theory And Dynamical Systems
Registro en:
15000001
15000001
Autor
Downarowichz, T.
Maass, A.
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. FONDAP FONDAP