Oct 23 – 25, 2017
Université d'Angers
Europe/Paris timezone

Computing the conformal dimension of Julia sets by elastic graphs.

Oct 24, 2017, 3:45 PM
55m
Université d'Angers

Université d'Angers

2 Boulevard Lavoisier 49000 Angers

Speaker

Dylan Thurston (Indiana University, Bloomington)

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.

Primary author

Dylan Thurston (Indiana University, Bloomington)

Presentation materials