Title: Combinations of Complex Dynamical Systems (Lecture Notes in Mathematics)
Publisher: Springer Berlin Heidelberg 2008-10-10
Publication Date: 2008
Language: English
ISBN 10: 3540201734
ISBN 13: 9783540201731
Binding: Paperback
Condition: New

About this title

Synopsis

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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