On decomposable rational maps

DOI10.1090/S1088-4173-2011-00233-5zbMath1298.37027arXiv1106.2799MaRDI QIDQ2888646

Carlos Cabrera, Peter M. Makienko

Publication date: 1 June 2012

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.2799

zbMATH Keywords

hyperbolicityuniformization theoremdecomposable rational maps

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) 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)

Related Items (3)

Semigroups of Mappings and Correspondences: Characters and Representations in Holomorphic Dynamical Systems ⋮ Tame rational functions: decompositions of iterates and orbit intersections ⋮ On the fixed points of the Ruelle operator

Cites Work

• An example concerning factorization of rational functions
• Quasiconformal homeomorphisms and dynamics. III: The Teichmüller space of a holomorphic dynamical system
• Laminations in holomorphic dynamics
• On the dynamics of rational maps
• Conformal and harmonic measures on laminations associated with rational maps
• Holomorphic motions commuting with semigroups

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