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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
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