| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 9516857 | Topology and its Applications | 2005 | 31 Pages |
Abstract
We discuss the connectivity properties of Julia sets of Weierstrass elliptic â functions, accompanied by examples. We give sufficient conditions under which the Julia set is connected and show that triangular lattices satisfy this condition. We also give conditions under which the Fatou set of â contains a toral band and provide an example of an order two elliptic function on a square lattice whose Julia set is a Cantor set.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Jane Hawkins, Lorelei Koss,