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• W3103969654 endingPage "3160" @default.
• W3103969654 startingPage "3123" @default.
• W3103969654 abstract "We study the escaping set of functions in the class $mathcal B^*$, that is, holomorphic functions $f:mathbb C^*tomathbb C^*$ for which both zero and infinity are essential singularities, and the set of singular values of $f$ is contained in a compact annulus of $mathbb C^*$. For functions in the class $mathcal B^*$, escaping points lie in their Julia set. If $f$ is a composition of finite order transcendental self-maps of $mathbb C^*$ (and hence, in the class $mathcal B^*$), then we show that every escaping point of $f$ can be connected to one of the essential singularities by a curve of points that escape uniformly. Moreover, for every essential itinerary $ein{0,infty}^mathbb N$, we show that the escaping set of $f$ contains a Cantor bouquet of curves that accumulate to ${0,infty}$ according to $e$ under iteration by $f$." @default.
• W3103969654 created "2020-11-23" @default.
• W3103969654 creator A5016075578 @default.
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• W3103969654 date "2017-01-01" @default.
• W3103969654 modified "2023-10-11" @default.
• W3103969654 title "Dynamic rays of bounded-type transcendental self-maps of the punctured plane" @default.
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• W3103969654 doi "https://doi.org/10.3934/dcds.2017134" @default.
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