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math.CV2025
Quasiconformal characterization of Schottky sets
Dimitrios Ntalampekos
The complement of the union of a collection of disjoint open disks in the -sphere is called a Schottky set. We prove that a subset of the -sphere is quasiconformally equi…
math.MG2025
Characterization of quasispheres via smooth approximation
Dimitrios Ntalampekos
We prove that every two-dimensional quasisphere is the limit of a sequence of smooth spheres that are uniform quasispheres. In the case of metric spheres of finite area we provide…