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Critical Points and Expanding Maps

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

Abstract

Critical points and their forward orbits play a key role in complex dynamical systems. The forward orbit of the critical points is dense in the boundary of any Siegel disk and Herman ring. If the critical points and their iterates stay away from the Julia set, the mapping is expanding on the Julia set, and the Julia set becomes more tractable.

Keywords

Kleinian Group Exceptional Point Invariant Component Siegel Disk Rotation Domain 
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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