2 papers
math.DS2025
Characterizations of contracting Hurwitz bisets
Walter Parry, Kevin M. Pilgrim
A critically finite branched self-cover determines naturally three iterated function systems: one on the pure mapping class group of the sphere marked at…
math.DS2025
Ahlfors-regular conformal dimension and energies of graph maps
Kevin M. Pilgrim, Dylan P. Thurston
For a hyperbolic rational map with connected Julia set, we give upper and lower bounds on the Ahlfors-regular conformal dimension of its Julia set from a family of energi…