Combinations of Complex Dynamical Systems
Edition: 1 edition
Publisher: Springer
Published: December 5, 2003
Language: eng
Format: Paperback
Number of pages: 118
ISBN-13: 9783540201731
Subjects: Differential Equations; Science/Mathematics; General; Mathematics; Functional Analysis; Mathematical Analysis; Complex dynamics; Mathematics / Functional Analysis; postcritically finite; Differentiable dynamical syste; Differentiable dynamical systems
First sentence: This work is about the combinatorial aspects of rigidity phenomena in complex dynamics.
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.
Notes: Lecture Notes in Mathematics