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Equipotentials and folds for quasiregular Mandelbrot sets

Fletcher, Alastair N.
arXiv (All) · Papers
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complex-variablesdynamical-systems
It is well-known that Douady and Hubbard proved that the Mandelbrot set is connected by constructing a uniformizing holomorphic map for its complement from the Böttcher coordinates. This strategy has a clear analogue in the setting of quasiregular Mandelbrot sets. In this paper, we show that the nat
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