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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
Böttcher coordinates
Xavier Buff, Adam Epstein, Sarah Koch
A well-known theorem of Böttcher asserts that an analytic germ f:(C,0)->(C,0) which has a superattracting fixed point at 0, more precisely of the form f(z) = az^k + o(z^k) for some…