58 citations · 490 across the 38 of their papers we have counts for
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math.DS2007★ 26 cited
Hyperbolic dimension and radial Julia sets of transcendental functions
Lasse Rempe
We survey the definition of the radial Julia set of a meromorphic function (in fact, more generally, any "Ahlfors islands map"), and give a simple proof that the Hausdorff dimensio…
math.DS2007★ 9 cited
Dynamic rays of bounded-type entire functions
Günter Rottenfußer, Johannes Rückert, Lasse Rempe +1
We construct an entire function in the Eremenko-Lyubich class $\B$ whose Julia set has only bounded path-components. This answers a question of Eremenko from 1989 in the negative.…