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math.CV2021
Random iteration on hyperbolic Riemann surfaces
Marco Abate, Argyrios Christodoulou
Let be a sequence of holomorphic self-maps of a hyperbolic Riemann surface . In this paper we shall study the asymptotic behavior of the sequences obtained by iterativ…
math.CV2021
Multipoint Julia theorems
Marco Abate
Following ideas introduced by Beardon-Minda and by Baribeau-Rivard-Wegert in the context of the Schwarz-Pick lemma, we use the iterated hyperbolic difference quotients to prove a m…