Combinatorial characterization of sub-hyperbolic rational maps

DOI10.1016/j.aim.2009.03.009zbMath1190.37051arXiv0811.3042OpenAlexW2126742926MaRDI QIDQ1028354

Gaofei Zhang, Yunping Jiang

Publication date: 30 June 2009

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.3042

zbMATH Keywords

sub-hyperbolic rational mapsThurston type theorem

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) 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 (8)

A positive characterization of rational maps ⋮ A characterization of hyperbolic rational maps ⋮ A decomposition theorem for Herman maps ⋮ Geometrically finite and semi-rational branched coverings of the two-sphere ⋮ On the cycles of components of disconnected Julia sets ⋮ Hyperbolic-parabolic deformations of rational maps ⋮ Canonical Thurston obstructions for sub-hyperbolic semi-rational branched coverings ⋮ Topological characterisation of rational maps with Siegel disks

Cites Work

• A proof of Thurston's topological characterization of rational functions
• A characterization of hyperbolic rational maps
• Exponential Thurston maps and limits of quadratic differentials
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