10 citations · 25 across the 14 of their papers we have counts for
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math.DS2022★ 2 cited
Uniform a priori bounds for neutral renormalization
Dzmitry Dudko, Mikhail Lyubich
We prove uniform ``pseudo-Siegel'' a priori bounds for Siegel disks of bounded type that give a uniform control of oscillations of their boundaries in all scales. As a consequence,…
math.DS2022★ 1 cited
A canonical decomposition of postcritically finite rational maps and their maximal expanding quotients
Dzmitry Dudko, Mikhail Hlushchanka, Dierk Schleicher
We provide a natural canonical decomposition of postcritically finite rational maps with non-empty Fatou sets based on the topological structure of their Julia sets. The building b…