Julia Sets and Symbolic Dynamics of Certain Rational and Entire Functions

Niamsup, Piyapong

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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