Combinations of complex dynamical systems /
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Author / Creator: | Pilgrim, Kevin M., 1967- |
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Imprint: | New York : Springer, 2003. |
Description: | ix, 118 p. : ill. ; 24 cm. |
Language: | English |
Series: | Lecture notes in mathematics, 0075-8434 ; 1827 Lecture notes in mathematics (Springer-Verlag) ; 1827. |
Subject: | |
Format: | Print Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/4965255 |
Summary: | This work is a research-level monograph whose goal is to develop a general combination, decomposition, and structure theory for branched coverings of the two-sphere to itself, regarded as the combinatorial and topological objects which arise in the classification of certain holomorphic dynamical systems on the Riemann sphere. It is intended for researchers interested in the classification of those complex one-dimensional dynamical systems which are in some loose sense tame. The program is motivated by the dictionary between the theories of iterated rational maps and Kleinian groups. |
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Physical Description: | ix, 118 p. : ill. ; 24 cm. |
Bibliography: | Includes bibliographical references and index. |
ISBN: | 3540201734 |
ISSN: | 0075-8434 ; |