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University of Illinois at Urbana-Champaign

Dynamics and Measures for Semigroups of Rational Functions

Abstract

dc:description

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.

Degree

thesis:*
Name thesis:degree_name
Ph.D.
Level thesis:degree_level
Dissertation
Discipline thesis:degree_discipline
Mathematics
Grantor
University of Illinois at Urbana-Champaign
Year dc:date
2015

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Boyd, David Andrew
Contributors dc:contributor
  • Aimo Hinkkanen

Subjects

dc:subject × 1

Rights

Language dc:language
eng

Identifiers

dc:identifier.*
Identifier
(MiAaPQ)AAI9912200
OAI identifier oai:identifier
oai:www.ideals.illinois.edu:2142/86965

Chain of custody

source
Harvested from
University of Illinois - Urbana-Champaign
Base URL
www.ideals.illinois.edu/oai-pmh
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Boyd, David Andrew. Dynamics and Measures for Semigroups of Rational Functions. Dissertation thesis, University of Illinois at Urbana-Champaign, 2015. http://hdl.handle.net/2142/86965