Finite Subdivision Rules from Matings of Quadratic Functions: Existence and Constructions

Combinatorial methods are utilized to examine preimage iterations of topologically glued polynomials. In particular, this paper addresses using finite subdivision rules and Hubbard trees as tools to model the dynamic behavior of mated quadratic functions. Several methods of construction of invariant...

Full description

Bibliographic Details
Main Author: Wilkerson, Mary
Other Authors: Mathematics
Format: Others
Published: Virginia Tech 2014
Subjects:
Online Access:http://hdl.handle.net/10919/27581
http://scholar.lib.vt.edu/theses/available/etd-05072012-142700/