Dynamics of tangent

  • Robert L. Devaney
  • Linda Keen
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1342)

Abstract

We discuss the dynamics of the family of meromorphic maps z→λ tan z. The Julia sets of these maps have several interesting properties which are strikingly different from those of rational maps. For example, the Julia set is a smooth submanifold of the plane for every λ>1; for families of rational maps, those whose Julia sets are smooth submanifolds are isolated points.

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Copyright information

© Springer-Verlag 1988

Authors and Affiliations

  • Robert L. Devaney
    • 1
  • Linda Keen
    • 2
  1. 1.Department of MathematicsBoston UniversityBoston
  2. 2.Department of MathematicsHerbert H. Lehman College, CUNYBronx

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