The rational maps $z\mapsto 1+1/\omega z^d$ have no Herman rings

DOI10.1090/S0002-9939-99-04566-9zbMath0924.58081OpenAlexW2121013014MaRDI QIDQ4219163

Rodrigo Bamón, Juan R. A. Bobenrieth

Publication date: 18 November 1998

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-99-04566-9

zbMATH Keywords

Julia setMandelbrot setrational mapsHerman ringshyperbolic maps

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamical systems over complex numbers (37F99) Dynamical systems with hyperbolic behavior (37D99)

Related Items (6)

The rational maps \(F_\lambda(z)= z^m+ \lambda/z^d\) have no Herman rings ⋮ Rational maps without Herman rings ⋮ Julia sets as buried Julia components ⋮ On Rational Maps with Two Critical Points ⋮ No Herman rings for regularly ramified rational maps ⋮ The repulsive lattice gas, the independent-set polynomial, and the Lovász local lemma

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