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MR2019938 30F10 (14J15 30D35 30F20 60J65)
Benjamini, Itai; Merenkov, Sergei; Schramm, Oded A negative answer to Nevanlinna's type question and a parabolic surface with a lot of negative curvature. Proc. Amer. Math. Soc. 132 (2004), no. 3, 641–647.
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