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• W3196282393 abstract "We construct a transcendental entire function for which infinitely many Fatou components share the same boundary. This solves the long-standing open problem whether Lakes of Wada continua can arise in complex dynamics, and answers the analogue of a question of Fatou from 1920 concerning Fatou components of rational functions. Our theorem also provides the first example of an entire function having a simply connected Fatou component whose closure has a disconnected complement, answering a recent question of Boc Thaler. Using the same techniques, we give new counterexamples to a conjecture of Eremenko concerning curves in the escaping set of an entire function." @default.
• W3196282393 created "2021-08-30" @default.
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• W3196282393 date "2021-08-23" @default.
• W3196282393 modified "2023-09-27" @default.
• W3196282393 title "Wandering Lakes of Wada" @default.
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• W3196282393 hasPublicationYear "2021" @default.
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