Topological characterisation of rational maps with Siegel disks

DOI10.1017/S0305004121000098zbMath1491.37047OpenAlexW3127745850MaRDI QIDQ5019784

Gaofei Zhang

Publication date: 11 January 2022

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004121000098

zbMATH Keywords

Siegel diskThurston obstructionbranched covering: postcritically finite rational mapsThurston's topological characterisation

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) Classification theory of Riemann surfaces (30F20) Combinatorics and topology in relation with holomorphic dynamical systems (37F20)

Related Items (1)

Quadratic rational maps with a 2-cycle of Siegel disks

Cites Work

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• Canonical Thurston obstructions for sub-hyperbolic semi-rational branched coverings
• Exponential Thurston maps and limits of quadratic differentials
• The dynamics of rational transforms: the topological picture
• Complex Dynamics and Renormalization (AM-135)
• One hundred years of complex dynamics
• Canonical Thurston obstructions

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