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Combinations of Complex Dynamical Systems
Paperback
Series: Lecture Notes in Mathematics, Book 1827
ISBN13: 9783540201731
Publisher: Springer
Published: Oct 8 2003
Pages: 120
Weight: 0.45
Height: 0.31 Width: 5.34 Depth: 8.34
Language: English
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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