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

Fundamenta Mathematicae (1994)

- Volume: 145, Issue: 1, page 65-77
- ISSN: 0016-2736

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topPrzytycki, Feliks, and Zdunik, Anna. "Density of periodic sources in the boundary of a basin of attraction for iteration of holomorphic maps: geometric coding trees technique." Fundamenta Mathematicae 145.1 (1994): 65-77. <http://eudml.org/doc/212034>.

@article{Przytycki1994,

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.},

author = {Przytycki, Feliks, Zdunik, Anna},

journal = {Fundamenta Mathematicae},

keywords = {periodic sources; iteration of holomorphic maps; rational self-map; Riemann sphere; immediate basin of attraction},

language = {eng},

number = {1},

pages = {65-77},

title = {Density of periodic sources in the boundary of a basin of attraction for iteration of holomorphic maps: geometric coding trees technique},

url = {http://eudml.org/doc/212034},

volume = {145},

year = {1994},

}

TY - JOUR

AU - Przytycki, Feliks

AU - Zdunik, Anna

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

JO - Fundamenta Mathematicae

PY - 1994

VL - 145

IS - 1

SP - 65

EP - 77

AB - 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.

LA - eng

KW - periodic sources; iteration of holomorphic maps; rational self-map; Riemann sphere; immediate basin of attraction

UR - http://eudml.org/doc/212034

ER -

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