Showing math.DSShow all
2 papers · 1 filter
math.DS2025
Rigidity of bounded-type Siegel polynomials
Kostiantyn Drach, Jonguk Yang
We establish rigidity for a class of higher-degree complex polynomials with irrationally indifferent dynamics. Specifically, we consider non-renormalizable (in the sense of Douady…
math.DS2024
Rigidity of bounded type cubic Siegel polynomials
Jonguk Yang, Runze Zhang
We prove that if two non-renormalizable cubic Siegel polynomials with bounded type rotation numbers are combinatorially equivalent, then they are also conformally equivalent. As a…