In this dissertation we prove that the Julia set of a Weierstrass elliptic function on a square lattice is connected. We further show that the parameter space contains an infinite number of Mandelbrot sets. As a consequence, this proves the existence of Siegel disks and gives a description of the bi...
Joshua J Clemons
Paperback
108
ProQuest, UMI Dissertation Publishing
124376015X
9781243760159
2