Dynamics in one complex variable /

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This volume studies the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the classical case of rational maps of the Riemann sphere. This subject is large and rapidly growing. These lectures are intended to introduce some key ideas in the field, and to form...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Milnor, John W. (John Willard), 1931-
Format: Electronic eBook
Language:Inglés
Published: Princeton : Princeton University Press, 2010.
Edition:Third ed.
Series:Annals of mathematics studies ; no. 160.
Subjects:
Functions of complex variables.
Holomorphic mappings.
Riemann surfaces.
Fonctions d'une variable complexe.
Applications holomorphes.
Surfaces de Riemann.
Functions of complex variables
Holomorphic mappings
Riemann surfaces
Online Access:Texto completo
Table of Contents:
  • Riemann surfaces
  • Iterated holomorphic maps
  • Local fixed point theory
  • Periodic points : global theory
  • Structure of the Fatou set
  • Using the Fatou set to study the Julia set
  • Appendix A. Theorems from classical analysis
  • Appendix B. Length-area-modulus inequalities
  • Appendix C. Rotations, continued fractions, and rational approximation
  • Appendix D. Two or more complex variables
  • Appendix E. Branched coverings and orbifolds
  • Appendix F. No wandering Fatou components
  • Appendix G. Parameter spaces
  • Appendix H. Computer graphics and effective computation.

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