Combinations of Complex Dynamical Systems / by Kevin M. Pilgrim.

Format:

Book

Author/Creator:

Pilgrim, Kevin M., 1967- author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1827.

Lecture Notes in Mathematics, 0075-8434 ; 1827

Language:

English

Subjects (All):

Functions of complex variables.

Differentiable dynamical systems.

Global analysis (Mathematics).

Functions of a Complex Variable.

Dynamical Systems and Ergodic Theory.

Global Analysis and Analysis on Manifolds.

Local Subjects:

Functions of a Complex Variable.

Dynamical Systems and Ergodic Theory.

Global Analysis and Analysis on Manifolds.

Physical Description:

1 online resource (XII, 120 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2003.

System Details:

text file PDF

Summary:

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.

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.

Other Format:

Printed edition:

ISBN:

9783540399360

Access Restriction:

Restricted for use by site license.