On supports of dynamical laminations and biaccessible points in polynomial Julia sets
Volume 87 / 2001
Colloquium Mathematicum 87 (2001), 287-295
MSC: Primary 37F20; Secondary 30C85, 30D05.
DOI: 10.4064/cm87-2-11
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.
