Hausdorff dimension and biaccessibility for polynomial Julia sets

DOI10.1090/S0002-9939-2012-11323-1zbMath1333.37049arXiv1101.4702WikidataQ121809170 ScholiaQ121809170MaRDI QIDQ4908267

Philipp Meerkamp, Dierk Schleicher

Publication date: 5 March 2013

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

Full work available at URL: https://arxiv.org/abs/1101.4702

zbMATH Keywords

Julia setHausdorff dimensionpolynomialbiaccessible

Mathematics Subject Classification ID

Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Combinatorics and topology in relation with holomorphic dynamical systems (37F20)

Related Items (4)

Core entropy of quadratic polynomials ⋮ On the core entropy of Newton maps ⋮ The shape of Thurston's master teapot ⋮ Continuity of core entropy of quadratic polynomials

Cites Work

• An extended Fatou-Shishikura inequality and wandering branch continua for polynomials
• Parabolic orbifolds and the dimension of the maximal measure for rational maps
• On supports of dynamical laminations and biaccessible points in polynomial Julia sets
• Wandering orbit portraits
• Existence of quadratic Hubbard trees
• External rays and the real slice of the Mandelbrot set
• An inequality for laminations, Julia sets and ‘growing trees’
• On biaccessible points in the Julia set of a Cremer quadratic polynomial
• Biaccessibility in quadratic Julia sets
• Hausdorff dimension of biaccessible angles for quadratic polynomials
• Dynamics in One Complex Variable. (AM-160)
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