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• W157322065 abstract "Consider a quadratic rational self-map of the Riemann sphere such that one critical point is periodic of period 2, and the other critical point lies on the boundary of its immediate basin of attraction. We will give explicit topological models for all such maps. We also discuss the corresponding parameter picture. 1.1. The family V2. Consider the set V2 of holomorphic conjugacy classes of qua- dratic rational maps that have a super-attracting periodic cycle of period 2 (we follow the notation of Mary Rees). The complement in V2 to the class of the single map z 7→ 1/z 2 is denoted by V2,0. The set V2,0 is parameterized by a single com- plex number. Indeed, for any map f in V2,0, the critical point of period two can be mapped to ∞, its f-image to 0, and the other critical point to −1. Then we obtain a map of the form fa(z) = a z 2 + 2z , a 6 0" @default.
• W157322065 created "2016-06-24" @default.
• W157322065 creator A5023408714 @default.
• W157322065 date "2007-02-06" @default.
• W157322065 modified "2023-09-27" @default.
• W157322065 title "The external boundary of the bifurcation locus $M_2$" @default.
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