Limit functions of discrete dynamical systems

DOI10.1090/S1088-4173-2014-00264-1zbMath1336.37006OpenAlexW1983577239MaRDI QIDQ2922921

Thierry Meyrath, Hans-Peter Beise, Jürgen Müller

Publication date: 15 October 2014

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

Full work available at URL: https://doi.org/10.1090/s1088-4173-2014-00264-1

zbMATH Keywords

limit setJulia setuniversalitySiegel disk

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Universal holomorphic functions of one complex variable (30K99)

Related Items (2)

Non-normality, topological transitivity and expanding families ⋮ Universality vs. non-normality of families of meromorphic functions

Cites Work

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• Complex dynamics
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• Limit functions of iterates of entire functions on parts of the Julia set
• Potential theory and a characterization of polynomials in complex dynamics
• An invariant measure for rational maps
• Equilibrium measures for rational maps
• Iteration of meromorphic functions

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