55 citations · 60 across the 11 of their papers we have counts for
5 papers · 1 filter
On critical renormalization of complex polynomials
Alexander Blokh, Peter Haissinsky, Lex Oversteegen +1
Holomorphic renormalization plays an important role in complex polynomial dynamics. We consider certain conditions guaranteeing that a polynomial which does not admit a polynomial-…
Minimal Ahlfors regular conformal dimension of coarse conformal dynamics on the sphere
Peter Haïssinsky, Kevin M. Pilgrim
We prove that if the Ahlfors regular conformal dimension of a topologically cxc map on the sphere is realized by some metric on , then either Q=2 and…
Finite type coarse expanding conformal dynamics
Peter Haïssinsky, Kevin M. Pilgrim
We continue the study of non-invertible topological dynamical systems with expanding behavior. We introduce the class of {\em finite type} systems which are characterized by the co…
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)…
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…