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

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

1993-04-17

arxiv.org/abs/math/9304217v1

Mathematics

Dynamical Systems

Scientific paper

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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