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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)
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Abstract

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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.

Information

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