Hostname: page-component-76fb5796d-22dnz Total loading time: 0 Render date: 2024-04-25T15:04:55.989Z Has data issue: false hasContentIssue false
  • English
  • Français

Non-accessible critical points of Cremer polynomials

Published online by Cambridge University Press:  10 November 2000

JAN KIWI
JAN KIWI
Affiliation:
Facultad de Matemáticas, Pontificia Universidad Católica de Chile, Casilla 306, Correo 22, Santiago, Chile (e-mail: jkiwi@riemann.mat.puc.cl)
Get access Rights & Permissions [Opens in a new window]

Abstract

It is shown that a polynomial with a Cremer periodic orbit has a non-accessible critical point in its Julia set provided that the Cremer periodic orbit is approximated by small cycles. Also, this paper contains a new proof of the Douady–Shishikura inequality for the number of non-repelling cycles of a complex polynomial.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 20 , Issue 5 , October 2000 , pp. 1391 - 1403
Copyright
© 2000 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.)