Institute for Mathematical Sciences

Preprint ims93-4

Feliks Przytycki and Anna Zdunik
Density of periodic sources in the boundary of a basin of attraction for iteration of holomorphic maps, geometric coding trees technique

Abstract: We prove that if A is the basin of immediate attraction to a periodic attracting or parabolic point for a rational map f on the Riemann sphere, then 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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