Hostname: page-component-7dd5485656-pnlb5 Total loading time: 0.001 Render date: 2025-10-31T21:49:46.957Z Has data issue: false hasContentIssue false
  • English
  • Français

Pointwise-recurrent graph maps

Published online by Cambridge University Press:  02 February 2005

JIE-HUA MAI
JIE-HUA MAI
Affiliation:
Institute of Mathematics, Shantou University, Shantou, Guangdong, 515063, People's Republic of China (e-mail: jhmai@stu.edu.cn)
Get access Rights & Permissions [Opens in a new window]

Abstract

In this paper we show that a continuous map f from a connected graph G to itself is pointwise-recurrent if and only if one of the following two statements holds: (1) G is a circle, and f is a homeomorphism topologically conjugate to an irrational rotation of the unit circle S1; (2) f is a periodic homeomorphism.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 25 , Issue 2 , April 2005 , pp. 629 - 637
Copyright
2005 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