Combinations of Complex Dynamical Systems

  • Authors
  • Kevin┬áM.┬áPilgrim

Part of the Lecture Notes in Mathematics book series (LNM, volume 1827)

Table of contents

  1. Front Matter
    Pages I-IX
  2. Kevin M. Pilgrim
    Pages 1-35
  3. Kevin M. Pilgrim
    Pages 37-48
  4. Kevin M. Pilgrim
    Pages 49-57
  5. Kevin M. Pilgrim
    Pages 59-68
  6. Kevin M. Pilgrim
    Pages 69-77
  7. Kevin M. Pilgrim
    Pages 79-81
  8. Kevin M. Pilgrim
    Pages 83-88
  9. Kevin M. Pilgrim
    Pages 89-94
  10. Kevin M. Pilgrim
    Pages 95-103
  11. Kevin M. Pilgrim
    Pages 105-109
  12. Kevin M. Pilgrim
    Pages 111-116
  13. Back Matter
    Pages 117-118

About this book

Introduction

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.

Keywords

Canon Complex dynamics Counting boundary element method class classification dynamical systems mapping object postcritically finite theorem

Bibliographic information

  • DOI https://doi.org/10.1007/b14147
  • Copyright Information Springer-Verlag Berlin Heidelberg 2003
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-20173-1
  • Online ISBN 978-3-540-39936-0
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book