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Table of contents (11 chapters)
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Front Matter
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Back Matter
About this book
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.
Keywords
- Canon
- Complex dynamics
- Counting
- boundary element method
- class
- classification
- dynamical systems
- mapping
- object
- postcritically finite
- theorem
Bibliographic Information
Book Title: Combinations of Complex Dynamical Systems
Authors: Kevin M. Pilgrim
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/b14147
Publisher: Springer Berlin, Heidelberg
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 2003
Softcover ISBN: 978-3-540-20173-1Published: 08 October 2003
eBook ISBN: 978-3-540-39936-0Published: 09 December 2003
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XII, 120
Topics: Functions of a Complex Variable, Dynamical Systems, Global Analysis and Analysis on Manifolds