19 citations · 122 across the 20 of their papers we have counts for
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math.CV2021★ 7 cited
Metric definition of quasiconformality and exceptional sets
Dimitrios Ntalampekos
We show that a homeomorphism of Euclidean space is quasiconformal if and only if at each point there exists a sequence of uncentered open sets with bounded eccentricity shrinking t…
math.MG2021★ 19 cited
Polyhedral approximation of metric surfaces and applications to uniformization
Dimitrios Ntalampekos, Matthew Romney
We prove that any length metric space homeomorphic to a 2-manifold with boundary, also called a length surface, is the Gromov-Hausdorff limit of polyhedral surfaces with controlled…
math.CV2021★ 3 cited
Extension of boundary homeomorphisms to mappings of finite distortion
Christina Karafyllia, Dimitrios Ntalampekos
We provide sufficient conditions so that a homeomorphism of the real line or of the circle admits an extension to a mapping of finite distortion in the upper half-plane or the disk…