Hostname: page-component-586b7cd67f-2plfb Total loading time: 0 Render date: 2024-11-28T09:20:38.797Z Has data issue: false hasContentIssue false
  • English
  • Français

Geodesic laminations as geometric realizations of Pisot substitutions

Published online by Cambridge University Press:  01 August 2000

VÍCTOR F. SIRVENT
VÍCTOR F. SIRVENT
Affiliation:
Departamento de Matemáticas, Universidad Simón Bolívar, Apartado 89000, Caracas 1086-A, Venezuela (e-mail: [email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

We construct a geodesic lamination on the hyperbolic disk and a dynamical system defined on this lamination. We prove that this dynamical system is a geometrical realization of the symbolic dynamical system that arises from the following Pisot substitution: $1\rightarrow 12, \dotsc, (n-1) \rightarrow 1n, n\rightarrow 1$.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 20 , Issue 4 , August 2000 , pp. 1253 - 1266
Copyright
2000 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)