2 citations · 2 across the 2 of their papers we have counts for
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The classification of polynomial basins of infinity
Laura DeMarco, Kevin Pilgrim
We consider the problem of classifying the dynamics of complex polynomials restricted to their basins of infinity. We synthesize existing combinatori…
On Thurston's pullback map
Xavier Buff, Adam Epstein, Sarah Koch +1
Let f: P^1 \to P^1 be a rational map with finite postcritical set P_f. Thurston showed that f induces a holomorphic map σ_f of the Teichmueller space T modelled on P_f to itself fi…
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…
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)…
Dessins d'enfants and Hubbard Trees
Kevin Pilgrim
We show that the absolute Galois group acts faithfully on the set of Hubbard trees. Hubbard trees are finite planar trees, equipped with self-maps, which classify postcritically fi…