On a theorem of Rees-Shishikura

DOI10.5802/afst.1359zbMath1283.37050OpenAlexW2313644720MaRDI QIDQ1950982

Guizhen Cui, Wenjuan Peng, Lei Tan

Publication date: 28 May 2013

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/afst.1359

zbMATH Keywords

holomorphic dynamicsThurston equivalenceposctcritically finite branched coverings

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 (7)

A characterization of Sierpiński carpet rational maps ⋮ Renormalizations and wandering Jordan curves of rational maps ⋮ Combination Theorems in Groups, Geometry and Dynamics ⋮ Near parabolic renormalization for unicritical holomorphic maps ⋮ Rees-Shishikura's theorem for geometrically finite rational maps ⋮ Hyperbolic-parabolic deformations of rational maps ⋮ On dynamical gaskets generated by rational maps, Kleinian groups, and Schwarz reflections

Cites Work

• A partial description of parameter space of rational maps of degree two. I
• On the notions of mating
• Matings of quadratic polynomials
• An inequality for laminations, Julia sets and ‘growing trees’
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