Rees-Shishikura's theorem for geometrically finite rational maps

DOI10.1007/s10114-017-6420-zzbMath1379.37087OpenAlexW2766213879MaRDI QIDQ1686979

Wen Qiang Shen

Publication date: 18 December 2017

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

Full work available at URL: https://doi.org/10.1007/s10114-017-6420-z

zbMATH Keywords

homeomorphismrational mapRees-Shishikura theorem

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Meromorphic mappings in several complex variables (32H04)

Cites Work

• Renormalizations and wandering Jordan curves of rational maps
• A partial description of parameter space of rational maps of degree two. I
• Complex dynamics
• Local connectivity of the Julia set for geometrically finite rational maps
• On a theorem of Rees-Shishikura
• Geometrically finite and semi-rational branched coverings of the two-sphere
• Dynamics in One Complex Variable. (AM-160)
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