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Combinations of Complex Dynamical Systems

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Combinations of Complex Dynamical Systems 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.

About This Edition

ISBN: 9783540201731
Publication date:
Author: Kevin M Pilgrim
Publisher: Springer an imprint of Springer Berlin Heidelberg
Format: Paperback
Pagination: 118 pages
Series: Lecture Notes in Mathematics
Genres: Complex analysis, complex variables
Cybernetics and systems theory
Calculus and mathematical analysis

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