23-25 octobre 2017
Université d'Angers
Fuseau horaire Europe/Paris

Computing the conformal dimension of Julia sets by elastic graphs.

24 oct. 2017 à 15:45
Université d'Angers

Université d'Angers

2 Boulevard Lavoisier 49000 Angers


Dylan Thurston (Indiana University, Bloomington)


One measure of the complexity of a Julia set are various notions of "conformal dimension". We show how to estimate the Ahlfors regular conformal dimension sharply from above and below by using energies of maps between graphs, a refinement of the earlier theorem that characterized rational maps using similar energies. This is joint work with Kevin Pilgrim.

Auteur principal

Dylan Thurston (Indiana University, Bloomington)

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