A CLASSIFICATION OF BICRITICAL RATIONAL MAPS WITH A PAIR OF PERIOD TWO SUPERATTRACTING CYCLES.

@article{Epstein2012ACO,
  title={A CLASSIFICATION OF BICRITICAL RATIONAL MAPS WITH A PAIR OF PERIOD TWO SUPERATTRACTING CYCLES.},
  author={Adam L. Epstein and Thomas Sharland},
  journal={Annales de la Facult{\'e} des Sciences de Toulouse},
  year={2012},
  volume={21},
  pages={907-934}
}
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. In this note we study bicritical rational maps whose critical points lie in distinct period two cycles. These maps are completely classified by a natural combinatorial invariant. A common strategy used in the classification of rational maps is to invoke Thurston's Theorem (DH93… 

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