Laplacians on a family of quadratic Julia Sets

This page (still somewhat under construction) displays the work done in summer 2008 at Cornell University on Laplacians on Julia Sets. We use the methods of graph (inner) approximation to construct discrete approximations to two Lapcians on quasicircles, the Bascilica and Douady's Rabbit. We then study the spectra of these Laplacians using matlab's linear algebra routines.

Additions, Corrections or Feedback on this page to:
tflock @ "remove this" math dot berkeley dot edu
Additional acknowledgements:
Bob Strichartz, Steven Heilman, Miles Wheeler, Yingying Chan, Sarah Constantin, Steve Gaarder, Russ Thompson

[ Department Home ]

Last Update: 5 June 2009