Accesses to infinity from Fatou components

DOI10.1090/tran/6739zbMath1358.30010arXiv1411.5473OpenAlexW3105770713MaRDI QIDQ5506659

Krzysztof Barański, Núria Fagella, Xavier Jarque, Bogusława Karpińska

Publication date: 13 December 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.5473

zbMATH Keywords

Julia setFatou setmeromorphic functionspolynomials, rational functions

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Meromorphic functions of one complex variable (general theory) (30D30)

Related Items (12)

Fatou's associates ⋮ A central limit theorem for inner functions ⋮ Identifying logarithmic tracts ⋮ A model for boundary dynamics of Baker domains ⋮ Unnamed Item ⋮ Newton maps of complex exponential functions and parabolic surgery ⋮ Escaping points in the boundaries of Baker domains ⋮ Fatou components and singularities of meromorphic functions ⋮ Simply connected Baker domains of some meromorphic functions ⋮ Singularities of inner functions associated with hyperbolic maps ⋮ A characterization of postcritically minimal Newton maps of complex exponential functions ⋮ On connected preimages of simply-connected domains under entire functions

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