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Combinations of Complex Dynamical Systems (Lecture Notes in Mathematics)
Posted on 2010-04-16
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Author: Kevin M. Pilgrim
Publisher: Springer (2003) Binding: Paperback, 118 pages pricer: $44.95 ISBN-10: 3540201734 editorialreviews 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. no
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