On biaccessible points in Julia sets of polynomials
Volume 163 / 2000
Fundamenta Mathematicae 163 (2000), 277-286 DOI: 10.4064/fm-163-3-277-286
Let f be a polynomial of one complex variable so that its Julia set is connected. We show that the harmonic (Brolin) measure of the set of biaccessible points in J is zero except for the case when J is an interval.