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Preprints, Working Papers, ... Year : 2011

Teichmüller spaces and holomorphic dynamics


One fundamental theorem in the theory of holomorphic dynamics is Thurston's topological characterization of postcritically finite rational maps. Its proof is a beautiful application of Teichmüller theory. In this chapter we provide a self-contained proof of a slightly generalized version of Thurston's theorem (the marked Thurston's theorem). We also mention some applications and related results, as well as the notion of deformation spaces of rational maps introduced by A. Epstein.
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hal-00610715 , version 1 (23-07-2011)


  • HAL Id : hal-00610715 , version 1


Xavier Buff, Guizhen Cui, Lei Tan. Teichmüller spaces and holomorphic dynamics. 2011. ⟨hal-00610715⟩
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