|Date: Thursday, April 19, 2018
Location: 1866 East Hall (4:00 PM to 5:00 PM)
Title: Elastic graphs and Ahlfors regular conformal dimension
Abstract: One measure of the complexity of a Julia set is its fractal Hausdorff dimension, or more generally various notions of "conformal dimension". We show how to estimate the Ahlfors regular conformal dimension of Julia sets from above and below by using certain energies of maps between graphs. This extends an earlier characterization of which topological maps from a sphere to itself are realized by a rational map.
Speaker: Dylan Thurston
Institution: Indiana University