An entire function with simply and multiply connected wandering domains

Abstract

We modify a construction of Kisaka and Shishikura to show that there exists an entire function which has both a simply connected and a multiply connected wandering domain. Moreover, these domains are contained in the set of fast escaping points.

10 pages

Cited by in corpus (9)

• Fast escaping points of entire functions
• Maximally and non-maximally fast escaping points of transcendental entire functions
• Connectedness properties of the set where the iterates of an entire function are bounded
• On fundamental loops and the fast escaping set
• Eremenko's conjecture, wandering Lakes of Wada, and maverick points
• The escaping set in transcendental dynamics
• Slow escaping points of meromorphic functions
• Transcendental Julia Sets of Minimal Hausdorff Dimension
• Iterates of Meromorphic Functions on Escaping Fatou Components