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.
@article{bwmeta1.element.bwnjournal-article-fmv163i3p277bwm,
author = {Anna Zdunik},
title = {On biaccessible points in Julia sets of polynomials},
journal = {Fundamenta Mathematicae},
volume = {163},
year = {2000},
pages = {277-286},
zbl = {0983.37053},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv163i3p277bwm}
}
Zdunik, Anna. On biaccessible points in Julia sets of polynomials. Fundamenta Mathematicae, Tome 163 (2000) pp. 277-286. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv163i3p277bwm/
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