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.

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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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