Lecture Notes in Mathematics

Pilgrim, Kevin M.

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.

Details

Published by: Springer

Publication Date: 2003-10-08

Format: Paperback

ISBN-13: 9783540201731

DOI: 10.1007/b14147

Dimensions: 235cm x155cm

Pages: 120