Hostname: page-component-586b7cd67f-rdxmf Total loading time: 0 Render date: 2024-11-24T19:31:43.651Z Has data issue: false hasContentIssue false
  • English
  • Français

Strange adding machines

Published online by Cambridge University Press:  24 March 2006

LOUIS BLOCK ,
JAMES KEESLING  and
MICHAŁ MISIUREWICZ
LOUIS BLOCK
Affiliation:
Department of Mathematics, University of Florida, Gainesville, FL 32611-8105, USA (e-mail: [email protected], [email protected])
JAMES KEESLING
Affiliation:
Department of Mathematics, University of Florida, Gainesville, FL 32611-8105, USA (e-mail: [email protected], [email protected])
MICHAŁ MISIUREWICZ
Affiliation:
Department of Mathematical Sciences, IUPUI, 402 N. Blackford Street, Indianapolis, IN 46202-3216, USA (e-mail: [email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

We show that given an adding machine of type $\alpha$, for a dense set of parameters $s$ in the interval $[\sqrt2,2]$, if $f$ is the tent map with slope $s$, then the restriction of $f$ to the closure of the orbit of the turning point is topologically conjugate to the adding machine map of type $\alpha$.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 26 , Issue 3 , June 2006 , pp. 673 - 682
Copyright
2006 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.)