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A classification of bicritical rational maps with a pair of period two superattracting cycles

Adam Epstein; Thomas Sharland — 2012

Annales de la faculté des sciences de Toulouse Mathématiques

We give a Thurston classification of those bicritical rational maps which have two period two superattracting cycles. We also show that all such maps are constructed by the mating of two unicritical degree $d$ polynomials.

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