Thurston equivalence for rational maps with clusters

DOI10.1017/S0143385712000181zbMath1335.37025arXiv1108.4808OpenAlexW2963360510MaRDI QIDQ2842233

Tom Sharland

Publication date: 13 August 2013

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.4808

zbMATH Keywords

combinatoricscomplex dynamics

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)

A classification of bicritical rational maps with a pair of period two superattracting cycles

Cites Work

• Components of degree two hyperbolic rational maps
• A partial description of parameter space of rational maps of degree two. I
• A proof of Thurston's topological characterization of rational functions
• On Rational Maps with Two Critical Points
• A Family of Cubic Rational Maps and Matings of Cubic Polynomials
• Pasting Together Julia Sets: A Worked Out Example of Mating
• The extension of a homeomorphism defined on the boundary of a 2-manifold

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