On supports of dynamical laminations and biaccessible points in polynomial Julia sets

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8 Citations (Scopus)

Abstract

We use Beurling estimates and Zdunik’s theorem to prove that the support of a lamination of the circle corresponding to a connected polynomial Julia set has zero length, unless f is conjugate to a Chebyshev polynomial. Equivalently, except for the Chebyshev case, the biaccessible points in the connected polynomial Julia set have zero harmonic measure.

Original languageEnglish
Pages (from-to)287-295
Number of pages9
JournalColloquium Mathematicum
Volume87
Issue number2
DOIs
Publication statusPublished - 2001
Externally publishedYes

Keywords

  • External ray
  • Harmonic measure
  • Julia set
  • Lamination

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