Connectivity of Julia sets for Weierstrass elliptic functions on square lattices

DOI10.1090/S0002-9939-2011-11079-7zbMath1297.37021WikidataQ121605176 ScholiaQ121605176MaRDI QIDQ2884417

Joshua J. Clemons

Publication date: 29 May 2012

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

zbMATH Keywords

Julia setselliptic functionscomplex dynamics

Mathematics Subject Classification ID

Related Items (7)

Elliptic Functions with Disconnected Julia Sets ⋮ Cantor and connected Julia sets of the parameterized Dixon elliptic functions ⋮ Unnamed Item ⋮ Stability of Cantor Julia sets in the space of iterated elliptic functions ⋮ Proof of a folklore Julia set connectedness theorem and connections with elliptic functions ⋮ Unnamed Item ⋮ Single and double toral band Fatou components in meromorphic dynamics

Cites Work

• Ergodic properties and Julia sets of Weierstrass elliptic functions
• Connectivity properties of Julia sets of Weierstrass elliptic functions
• On Rational Maps with Two Critical Points
• The escape trichotomy for singularly perturbed rational maps
• Iterates of meromorphic functions: I
• LOCALLY SIERPINSKI JULIA SETS OF WEIERSTRASS ELLIPTIC ℘ FUNCTIONS
• Iteration of meromorphic functions
• Parametrized dynamics of the Weierstrass elliptic function
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