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math.CV2022
Critical measures on higher genus Riemann surfaces
Marco Bertola, Alan Groot, Arno B. J. Kuijlaars
Critical measures in the complex plane are saddle points for the logarithmic energy with external field. Their local and global structure was described by Martinez-Finkelshtein and…
math.CV2017
Domains of existence for finely holomorphic functions
Bent Fuglede, Alan Groot, Jan Wiegerinck
We show that fine domains in with the property that they are Euclidean and , are in fact fine domains of existence for finely holomorphic functions. Moreove…