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- W2963458001 abstract "Let $f$ be Fatouâs function, that is, $f(z)= z+1+e^{-z}$. We prove that the escaping set of $f$ has the structure of a âspiderâs webâ, and we show that this result implies that the non-escaping endpoints of the Julia set of $f$ together with infinity form a totally disconnected set. We also present a well-known transcendental entire function, due to Bergweiler, for which the escaping set is a spiderâs web, and we point out that the same property holds for some families of functions." @default.
- W2963458001 created "2019-07-30" @default.
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- W2963458001 date "2016-06-03" @default.
- W2963458001 modified "2023-09-23" @default.
- W2963458001 title "Fatou’s web" @default.
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- W2963458001 doi "https://doi.org/10.1090/proc/13150" @default.
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