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math.DS2023★ 1 cited
Rigidity of J-rotational rational maps and critical quasicircle maps
Willie Rush Lim
We present a number of rigidity results concerning holomorphic dynamical systems admitting rotation quasicircles. Firstly, we show the absence of line fields on the Julia set of an…
math.DS2023★ 1 cited
A priori bounds and degeneration of Herman rings with bounded type rotation number
Willie Rush Lim
By adapting the near-degenerate regime designed by Kahn, Lyubich, and D. Dudko, we prove that the boundaries of Herman rings with bounded type rotation number and of the simplest c…