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An overview of topological properties of Julia sets of iterated elliptic functions
by
Jane Hawkins
Duke University
Coauthors: L. Keen, L. Koss, D. Look
We describe the dynamical behavior and topology of Julia sets of iterated meromorphic functions, focusing on the Weierstrass elliptic P function. We show the dependence of the dynamics on the period lattice and describe the different types of Julia sets that can occur, ranging from Sierpinski carpets to the entire sphere. We also describe a new type of Fatou component, called a toral band, that arises in this setting. Results from a series of 3 papers will be surveyed in this talk.
Date received: February 17, 2005
Copyright © 2005 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # capc-26.