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23-25 octobre 2017
Université d'Angers
Europe/Paris timezone
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Contribution

Université d'Angers -

Computing the conformal dimension of Julia sets by elastic graphs.

Intervenant(s)

  • Dylan THURSTON

Auteurs principaux

Description

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.