Geodesic
Density of periodic sources in the boundary of a basin of attraction for iteration of holomorphic maps: geometric coding trees technique
Fundamenta Mathematicae, Tome 145 (1994) no. 1, pp. 65-77 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/fm-145-1-65-77

F. Przytycki 1 ; A. Zdunik 1

1 
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F. Przytycki; A. Zdunik. Density of periodic sources in the boundary of a basin of attraction for iteration of holomorphic maps: geometric coding trees technique. Fundamenta Mathematicae, Tome 145 (1994) no. 1, pp. 65-77. doi: 10.4064/fm-145-1-65-77

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