The fine structure of Herman rings

DOI10.1007/s12220-017-9764-9zbMath1382.37044arXiv1511.01522OpenAlexW3103816597MaRDI QIDQ2411212

Christian Henriksen, Núria Fagella

Publication date: 20 October 2017

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.01522

zbMATH Keywords

self-similarityJulia setSiegel diskholomorphic dynamicsHerman ring

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Entire functions of one complex variable (general theory) (30D20) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Blaschke products (30J10)

Cites Work

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• Renormalization and 3-Manifolds Which Fiber over the Circle
• Quasiconformal Surgery in Holomorphic Dynamics
• Dynamics in One Complex Variable. (AM-160)
• HERMAN RINGS AND ARNOLD DISKS

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