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On a theorem of Rees-Shishikura

Guizhen CuiWenjuan PengLei Tan — 2012

Annales de la faculté des sciences de Toulouse Mathématiques

Rees-Shishikura’s theorem plays an important role in the study of matings of polynomials. It promotes Thurston’s combinatorial equivalence into a semi-conjugacy. In this work we restate and reprove Rees-Shishikura’s theorem in a more general form, which can then be applied to a wider class of postcritically finite branched coverings. We provide an application of the restated theorem.

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