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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)…
math.DS2005
Pinching Holomorphic Correspondences
Shaun Bullett, Peter Haissinsky
For certain classes of holomorphic correspondences which are matings between Kleinian groups and polynomials, we prove the existence of pinching deformations, analogous to Maskit's…