A landing theorem for entire functions with bounded post-singular sets

Preprint English OPEN
Benini, Anna Miriam; Rempe-Gillen, Lasse;
(2017)
  • Subject: 37F10 (primary), 30D05 (secondary) | Mathematics - Dynamical Systems
    arxiv: Mathematics::Dynamical Systems

The Douady-Hubbard landing theorem for periodic external rays is one of the cornerstones of the study of polynomial dynamics. It states that, for a complex polynomial with bounded postcritical set, every periodic external ray lands at a repelling or parabolic periodic p... View more
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