2 papers
math.GT2025
Disk patterns, quasi-duality and the uniform bounded diameter conjecture
Yusheng Luo, Yongquan Zhang
We show that the diameter of the image of the skinning map on the deformation space of an acylindrical reflection group is bounded by a constant depending only on the topological c…
math.DS2025
On quasiconformal non-equivalence of gasket Julia sets and limit sets
Yusheng Luo, Yongquan Zhang
This paper studies quasiconformal non-equivalence of Julia sets and limit sets. We proved that any Julia set is quasiconformally different from the Apollonian gasket. We also prove…