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

Stanislav K. Smirnov. "On supports of dynamical laminations and biaccessible points in polynomial Julia sets." Colloquium Mathematicae 87.2 (2001): 287-295. <http://eudml.org/doc/283987>.

@article{StanislavK2001,
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.},
author = {Stanislav K. Smirnov},
journal = {Colloquium Mathematicae},
keywords = {lamination; external ray; Julia set; harmonic measure},
language = {eng},
number = {2},
pages = {287-295},
title = {On supports of dynamical laminations and biaccessible points in polynomial Julia sets},
url = {http://eudml.org/doc/283987},
volume = {87},
year = {2001},
}

TY - JOUR
AU - Stanislav K. Smirnov
TI - On supports of dynamical laminations and biaccessible points in polynomial Julia sets
JO - Colloquium Mathematicae
PY - 2001
VL - 87
IS - 2
SP - 287
EP - 295
AB - 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.
LA - eng
KW - lamination; external ray; Julia set; harmonic measure
UR - http://eudml.org/doc/283987
ER -