Geometry
and Analysis Seminar
Iteration of Rational Functions
Dr. T.W. Ng
The University
of Hong Kong
Abstract
This is the first of a series of lectures
on the iteration theory of rational functions. In these lectures, we shall focus
on the dynamics of a rational function on its Fatou
set. In particular, we shall discuss Sullivan's No Wandering Domains Theorem.
In this first lecture, we shall introduce the basis concepts of complex
dynamics and prove some simple properties of the Fatou
and Julia sets of a rational function.
An excellent introduction to the topics we shall cover
is Alan Beardon's book, Iterations of Rational
Functions. This talk will be accessible to graduate students and senior
undergraduates.
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Date:
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January 31, 2001 (Wednesday)
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Time:
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4:00 - 5:00pm
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Place:
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Room 517, Meng Wah
Complex
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