Density of periodic sources in the boundary of a basin of attraction for iteration of holomorphic maps: geometric coding trees technique
Volume 145 / 1994
Fundamenta Mathematicae 145 (1994), 65-77
DOI: 10.4064/fm-145-1-65-77
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.
