Hostname: page-component-77c78cf97d-5vn5w Total loading time: 0 Render date: 2026-05-05T01:57:39.566Z Has data issue: false hasContentIssue false
  • English
  • Français

Ergodic rational maps with dense critical point forward orbit

Published online by Cambridge University Press:  19 September 2008

Mary Rees
Mary Rees
Affiliation:
Department of Pure Mathematics, University of Liverpool, P.O. Box 147, Liverpool, L69 3BX, England
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.

Examples are constructed of ergodic rational maps with dense critical orbit.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 4 , Issue 2 , June 1984 , pp. 311 - 322
Copyright
Copyright © Cambridge University Press 1984

References

REFERENCES

[1]Brolin, H.. Invariant sets under iteration of rational functions. Arkiv For Matematik, 6 (1965), 103–144.CrossRefGoogle Scholar
[2]Herman, M. R.. Exemples de fractions rationelles ayant une orbit dense. To appear.Google Scholar
[3]Mane, R., Sad, P. & Sullivan, D.. On the dynamics of rational maps. To appear.Google Scholar
[4]Sullivan, D.. Conformal dynamical systems. To appear.Google Scholar