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math.DS2010
Geometrization of postcritically finite branched coverings
Sylvain Bonnot, Michael Yampolsky
We study canonical decompositions of postcritically finite branched coverings of the 2-sphere, as defined by K.~Pilgrim. We show that every hyperbolic cycle in the decomposition do…
math.DS2010
Thurston equivalence to a rational map is decidable
Sylvain Bonnot, Mark Braverman, Michael Yampolsky
We demonstrate that the question whether or not a given postcritically finite topological ramified covering map of the 2-sphere is Thurston equivalent to a rational map is algorith…