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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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Previews available in: English
Edition | Availability |
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1
Combinations of Complex Dynamical Systems
December 5, 2003, Springer
Paperback
in English
- 1 edition
3540201734 9783540201731
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2
Combinations of Complex Dynamical Systems
2003, Springer London, Limited
in English
3540399364 9783540399360
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Book Details
First Sentence
"This work is about the combinatorial aspects of rigidity phenomena in complex dynamics."
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Lecture Notes in Mathematics
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- Created April 30, 2008
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July 18, 2025 | Edited by MARC Bot | import existing book |
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