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Classification of Periodic Components

  • Lennart Carleson
  • Theodore W. Gamelin
Part of the Universitext: Tracts in Mathematics book series (UTX)

Abstract

We focus on the behavior of a rational function R(z) on the Fatou set F. Our aim is twofold: to show that every component of F is iterated eventually to a periodic component, and to classify the action of R(z) on periodic components.

Keywords

Periodic Point Blaschke Product Periodic Component Classification Theorem Irrational Rotation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York, Inc. 1993

Authors and Affiliations

  • Lennart Carleson
    • 1
    • 2
  • Theodore W. Gamelin
    • 2
  1. 1.Department of MathematicsRoyal Institute of TechnologyStockholmSweden
  2. 2.Department of MathematicsUniversity of CaliforniaLos AngelesUSA

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