3 papers
math.CV2026
Quasisymmetric rigidity of self-similar square carpets
Xiaohua Wang, Fan Wen
Let be a self-similar square carpet obtained by subdividing the unit square into congruent cells, deleting a nonempty collection of strictly interior open cells with pair…
math.MG2025
Periodic Beurling-Ahlfors Extensions and Quasisymmetric Rigidity of Carpets
Fan Wen
We establish periodic quasiconformal extension theorems for periodic orientation-preserving quasisymmetric self homeomorphisms of quasicircles or quasi-round carpets. As applicatio…
math.MG2024
Non-self-intersective dragon curves
Shigeki Akiyama, Yuichi Kamiya, Fan Wen
Let us fold a strip of paper many times in the same direction, and then unfold it to form a fixed angle at all creases. The resulting shape is called the Dragon curve with the…