Hostname: page-component-7f64f4797f-kg7gq Total loading time: 0.001 Render date: 2025-11-04T11:55:02.306Z Has data issue: false hasContentIssue false
  • English
  • Français

Adding machines as invariant sets for homeomorphisms of a disk into the plane

Published online by Cambridge University Press:  10 April 2006

MARCIN KULCZYCKI
MARCIN KULCZYCKI
Affiliation:
Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland (e-mail: marcin.kulczycki@im.uj.edu.pl)
Get access Rights & Permissions [Opens in a new window]

Abstract

Let $h:D\rightarrow {\mathbb R}^2$ be a homeomorphism of a disk into the plane. Let $C\subset {\rm int}\,D$ be a Cantor set such that $(C,h|_C)$ is an adding machine. We give a condition under which there are points outside of C which have their entire orbits contained in D.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 26 , Issue 3 , June 2006 , pp. 783 - 786
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.)

Article purchase

Temporarily unavailable