On biaccessible points in the Julia set of a Cremer quadratic polynomial

DOI10.1090/S0002-9939-99-05111-4zbMath0942.37036arXivmath/9801149WikidataQ122446098 ScholiaQ122446098MaRDI QIDQ4699600

Dierk Schleicher, Saeed Zakeri

Publication date: 17 November 1999

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9801149

zbMATH Keywords

hedgehogJulia setbiaccessible pointCremer fixed pointCremer quadratic polynomial

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Cluster sets, prime ends, boundary behavior (30D40)

Related Items (6)

Core entropy of quadratic polynomials ⋮ Periodic points on the boundaries of rotation domains of some rational functions ⋮ The Julia sets of basic uniCremer polynomials of arbitrary degree ⋮ Hausdorff dimension and biaccessibility for polynomial Julia sets ⋮ The solar Julia sets of basic quadratic Cremer polynomials ⋮ The Julia sets of quadratic Cremer polynomials

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