| Type of Document |
Dissertation |
| Author |
Wilkerson, Mary
|
| URN |
etd-05072012-142700 |
| Title |
Finite Subdivision Rules from Matings of Quadratic Functions: Existence and Constructions |
| Degree |
PhD |
| Department |
Mathematics |
| Advisory Committee |
| Advisor Name |
Title |
| Floyd, William J. |
Committee Chair |
| Haskell, Peter E. |
Committee Member |
| Kay, Leslie D. |
Committee Member |
| Rossi, John F. |
Committee Member |
|
| Keywords |
- Combinatorial Dynamics
- Hubbard Trees
- Matings
- Finite Subdivision Rules
|
| Date of Defense |
2012-04-24 |
| Availability |
unrestricted |
Abstract
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 structures on modified degenerate matings are detailed, and examples of parameter-based families of matings for which these methods succeed (and fail) are given.
|
| Files |
| Filename |
Size |
Approximate Download Time
(Hours:Minutes:Seconds)
|
| 28.8 Modem |
56K Modem |
ISDN (64 Kb) |
ISDN (128 Kb) |
Higher-speed Access |
| |
Wilkerson_ME_D_2012.pdf |
3.00 Mb |
00:13:52 |
00:07:08 |
00:06:14 |
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00:00:15 |
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