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Description
Title: | Julia Sets and Symbolic Dynamics of Certain Rational and Entire Functions |
Author(s): | Niamsup, Piyapong |
Doctoral Committee Chair(s): | Palmore, Julian |
Department / Program: | Mathematics |
Discipline: | Mathematics |
Degree Granting Institution: | University of Illinois at Urbana-Champaign |
Degree: | Ph.D. |
Genre: | Dissertation |
Subject(s): | Mathematics |
Abstract: | A complex analytic map f always decomposes the complex plane into two dis-joint subsets, the Julia set J(f) on which the family of iterates of f, $\{f\sp{k}\}\sbsp{k=0}{\infty}$, fails to be a normal family, and its complement, the Fatou set F(f). The dynamics of f on its Fatou set is relatively tame while the dynamics on its Julia set is always complicated. We study the Julia sets and Symbolic dynamics of certain rational and entire functions. We also estimate the size of some Julia sets in terms of their Hausdorff dimension. |
Issue Date: | 1997 |
Type: | Text |
Language: | English |
Description: | 77 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1997. |
URI: | http://hdl.handle.net/2142/86942 |
Other Identifier(s): | (MiAaPQ)AAI9717317 |
Date Available in IDEALS: | 2015-09-28 |
Date Deposited: | 1997 |
This item appears in the following Collection(s)
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Dissertations and Theses - Mathematics
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Graduate Dissertations and Theses at Illinois
Graduate Theses and Dissertations at Illinois