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ArticleOriginal scientific text

Title

Density of periodic sources in the boundary of a basin of attraction for iteration of holomorphic maps: geometric coding trees technique

Authors 1, 2

Affiliations

  1. Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-950 Warszawa, Poland
  2. Institute of Mathematics, Warsaw University, Banacha 2, 00-913 Warszawa, Poland

Abstract

We prove that if A is a basin of immediate attraction to a periodic attracting or parabolic point for a rational map f on the Riemann sphere, then the periodic points in the boundary of A are dense in this boundary. To prove this in the non-simply connected or parabolic situations we prove a more abstract, geometric coding trees version.

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Additional information

http://matwbn.icm.edu.pl/ksiazki/fm/fm145/fm14514.pdf

Fundamenta Mathematicae
1994/145/1
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Pages:
65-77
Main language of publication
English
Received
1993-04-30
Accepted
1993-09-28
Published
1994
Exact and natural sciences