Combinations of complex dynamical systems

Author(s)

• Pilgrim, Kevin M.

Bibliographic Information

Combinations of complex dynamical systems

Kevin M. Pilgrim

（Lecture notes in mathematics, 1827）

Springer, c2003

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"

Details

• NCID: BA64037354
• ISBN:
  • 3540201734
• LCCN: 2003055928
• Country Code: gw
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Berlin ; Tokyo
• Pages/Volumes: ix, 118 p.
• Size: 24 cm
• Classification:
  • LCC : QA3
  • LCC : QA614.8
  • DC22 : 510
  • DC22 : 515/.39
• Subject Headings:
  • LCSH : Differentiable dynamical systems
• Parent Bibliography ID:
  • BA00146586