Combinations of Complex Dynamical Systems

Paperback Engels 2003 9783540201731
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Samenvatting

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.

Specificaties

ISBN13:9783540201731
Taal:Engels
Bindwijze:Paperback
Aantal pagina's:120
Uitgever:Springer Berlin Heidelberg

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Inhoudsopgave

Introduction.- Preliminaries.- Combinations.- Uniqueness of combinations.- Decompositions.- Uniqueness of decompositions.- Counting classes of annulus maps.- Applications to mapping class groups. Examples.- Canonical decomposition theorem.

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          Combinations of Complex Dynamical Systems