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math.DS2011
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…
math.DS2011
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…
math.DS2011★ 2 cited
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…