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math.DS2007
An algebraic formulation of Thurston's characterization of rational functions
Kevin M. Pilgrim
Following Douady-Hubbard and Bartholdi-Nekrashevych, we give an algebraic formulation of Thurston's characterization of rational functions. The techniques developed are applied to…
math.DS2007
Thurston obstructions and Ahlfors regular conformal dimension
Peter Haïssinsky, Kevin M. Pilgrim
Let be an expanding branched covering map of the sphere to itself with finite postcritical set . Associated to is a canonical quasisymmetry class $\GGG(f)…