University of Illinois Urbana-Champaign

Dynamics and Measures for Semigroups of Rational Functions

Boyd, David Andrew

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Description

Title
Dynamics and Measures for Semigroups of Rational Functions
Author(s)
Boyd, David Andrew
Issue Date
1998
Doctoral Committee Chair(s)
Aimo Hinkkanen
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Mathematics
Language
eng
Abstract
In addition in Chapter 6 we provide examples of rational semigroups where the Fatou set contains an arbitrary finite number of components. The Fatou set of a single rational function must contain zero, one, two or infinitely many components.
Graduation Semester
1998
Type of Resource
text
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http://hdl.handle.net/2142/86965

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