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math.CV2024
Carathéodory convergence and the conformal type problem
Alexandre Eremenko, Sergei Merenkov
We study Carathéodory convergence for open, simply connected surfaces spread over the sphere and, in particular, provide examples demonstrating that in the Speiser class the confor…
math.DS2024
On a question of Kwakkel and Markovic on existence of wandering domains with bounded geometry
Sergei Merenkov
A question of F. Kwakkel and V. Markovic on existence of C^1-diffeomorphisms of closed surfaces that permute a dense collection of domains with bounded geometry is answered in the…