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

• Autorzy: Feliks Przytycki , Anna Zdunik
• Języki publikacji: EN

Abstrakty

EN

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.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1994
• Tom: 145
• Numer: 1
• Strony: 65-77

Daty

wydano

1994

otrzymano

1993-04-30

poprawiono

1993-09-28

Twórcy

autor

Feliks Przytycki

• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-950 Warszawa, Poland

autor

Anna Zdunik

• Institute of Mathematics, Warsaw University, Banacha 2, 00-913 Warszawa, Poland

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