Spiders’ webs and locally connected Julia sets of transcendental entire functions

DOI10.1017/S0143385712000259zbMath1277.37076arXiv1110.3256OpenAlexW2962856775WikidataQ120979444 ScholiaQ120979444MaRDI QIDQ2842231

John W. Osborne

Publication date: 13 August 2013

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.3256

zbMATH Keywords

iterationentire functionJulia setlocally connectedspider's web

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 (10)

On topological properties of Fatou sets and Julia sets of transcendental entire functions ⋮ Spiders' webs in the punctured plane ⋮ Geometrically finite transcendental entire functions ⋮ Unnamed Item ⋮ Maximum term of transcendental entire function and spider’s web ⋮ On the connectivity of the escaping set in the punctured plane ⋮ Spiders' webs of doughnuts ⋮ Residual Julia set for functions with the Ahlfors' Property ⋮ Cantor bouquets in spiders’ webs ⋮ On connected preimages of simply-connected domains under entire functions

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