Hostname: page-component-74656f9884-2dmjx Total loading time: 0 Render date: 2026-11-10T05:29:13.569Z 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)
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the 'Save PDF' action button.

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