Combinations of complex dynamical systems
Author(s)
Bibliographic Information
Combinations of complex dynamical systems
(Lecture notes in mathematics, 1827)
Springer, c2003
Available at / 66 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||182703045918
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INTERNATIONAL CHRISTIAN UNIVERSITY LIBRARY図
V.1827410.8/L507/v.182705972931,
410.8/L507/v.182705972931 -
Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC22:515.39/P6432070599211
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Note
Includes bibliographical references (p. [111]-116) and index
Description and Table of Contents
Description
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.
Table of Contents
Introduction.- Preliminaries.- Combinations.- Uniqueness of combinations.- Decompositions.- Uniqueness of decompositions.- Counting classes of annulus maps.- Applications to mapping class groups. Examples.- Canonical decomposition theorem.
by "Nielsen BookData"