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math.DS2016
Algorithmic aspects of branched coverings IV/V. Expanding maps
Laurent Bartholdi, Dzmitry Dudko
Thurston maps are branched self-coverings of the sphere whose critical points have finite forward orbits. We give combinatorial and algebraic characterizations of Thurston maps tha…
math.GR2016★ 1 cited
Algorithmic aspects of branched coverings II/V. Sphere bisets and their decompositions
Laurent Bartholdi, Dzmitry Dudko
We consider "Thurston maps": branched self-coverings of the sphere with ultimately periodic critical points, and prove that the Thurston equivalence problem between them (continuou…