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

• Autorzy: Stanislav K. Smirnov
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 30D05: Functional equations in the complex domain, iteration and composition of analytic functions
• 30C85: Capacity and harmonic measure in the complex plane
• 37F20: Combinatorics and topology

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2001
• Tom: 87
• Numer: 2
• Strony: 287-295

Daty

wydano

2001

Twórcy

autor

Stanislav K. Smirnov

• Department of Mathematics, Yale University, New Haven, CT 06520, U.S.A., Institute for Advanced Study, Princeton, NJ 08540, U.S.A.
• Dep. of Mathematics, KTH, S-10044 Stockholm, Sweden

Identyfikatory

DOI

10.4064/cm87-2-11