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Invariant curves and semiconjugacies of rational functions

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Publication:3144067
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DOI10.4064/fm219-3-5zbMath1293.30059arXiv1110.6552OpenAlexW2963134161MaRDI QIDQ3144067

Alexandre Eremenko

Publication date: 6 December 2012

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.6552


zbMATH Keywords

iterationrational functionsfunctional equations


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)


Related Items (7)

Semiconjugate rational functions: a dynamical approach ⋮ On semiconjugate rational functions ⋮ Finiteness theorems for commuting and semiconjugate rational functions ⋮ On generalized Lattès maps ⋮ On mutually semiconjugate rational functions ⋮ On rational functions whose normalization has genus zero or one ⋮ Modular forms, Schwarzian conditions, and symmetries of differential equations in physics




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