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math.CV2020★ 8 cited
Bers Slices in Families of Univalent Maps
Kirill Lazebnik, Nikolai G. Makarov, Sabyasachi Mukherjee
We construct embeddings of Bers slices of ideal polygon reflection groups into the classical family of univalent functions . This embedding is such that the conformal mating of…
math.CV2019★ 10 cited
Univalent Polynomials and Hubbard Trees
Kirill Lazebnik, Nikolai G. Makarov, Sabyasachi Mukherjee
We study rational functions of degree such that is univalent in the exterior unit disc, and the image of the unit circle under has the maximal number of cusps ($d…