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math.CV2022
On the monotonicity of the speeds for semigroups of holomorphic self-maps of the unit disk
Dimitrios Betsakos, Nikolaos Karamanlis
We study semigroups of holomorphic self-maps of the unit disk with Denjoy-Wolff point on the boundary. We show that the orthogonal speed of such semigroups is a s…
math.CV2022
Conformal capacity of hedgehogs
Dimitrios Betsakos, Alexander Solynin, Matti Vuorinen
In this paper we discuss problems concerning the conformal condenser capacity of "hedgehogs", which are compact sets in the unit disk consisting of a…