Institute for Mathematical Sciences

Preprint ims15-02

Araceli Bonifant, Xavier Buff and John Milnor
Antipode Preserving Cubic Maps: the Fjord Theorem

Abstract: This note will study a family of cubic rational maps which carry antipodal points of the Riemann sphere to antipodal points. We focus particularly on the fjords, which are part of the central hyperbolic component but stretch out to infinity. These serve to decompose the parameter plane into subsets, each of which is characterized by a corresponding rotation number.

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