A generalized version of Branner-Hubbard conjecture for rational functions

DOI10.1007/S10114-010-7632-7zbMath1213.37074OpenAlexW2401418230WikidataQ123023882 ScholiaQ123023882MaRDI QIDQ627612

Yu Zhai

Publication date: 2 March 2011

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-010-7632-7

zbMATH Keywords

Julia setBranner-Hubbard puzzlefilled-in Julia setKSS nest

Mathematics Subject Classification ID

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 (1)

Density of hyperbolicity for rational maps with Cantor Julia sets

Cites Work

• Unnamed Item
• Proof of the Branner-Hubbard conjecture on Cantor Julia sets
• The iteration of cubic polynomials. II: Patterns and parapatterns
• The topology of Julia sets for geometrically finite polynomials
• Bounds for maps of an interval with one critical point of inflection type. II
• Invariant sets under iteration of rational functions
• Rigidity for real polynomials
• The topology of Julia sets for polynomials
• Local connectivity and quasi-conformal rigidity of non-renormalizable polynomials
• Dynamics in One Complex Variable. (AM-160)

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