19 citations · 122 across the 20 of their papers we have counts for
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Non-removability of Sierpinski spaces
Dimitrios Ntalampekos, Jang-Mei Wu
We prove that all Sierpiński spaces in , , are non-removable for (quasi)conformal maps, generalizing the result of the first named author arXiv:1809.05605.…
On the inverse absolute continuity of quasiconformal mappings on hypersurfaces
Dimitrios Ntalampekos, Matthew Romney
We construct quasiconformal mappings for which there is a Borel set of positive Lebesgue $…
Non-removability of Sierpinski carpets
Dimitrios Ntalampekos
We prove that all Sierpiński carpets in the plane are non-removable for (quasi)conformal maps. More precisely, we show that for any two Sierpiński carpets $S,S'\subset \hat{\mathbb…
Rigidity theorems for circle domains
Dimitrios Ntalampekos, Malik Younsi
A circle domain in the Riemann sphere is conformally rigid if every conformal map from onto another circle domain is the restriction of a Möbius transformation. We show tha…
Potential theory on Sierpinski carpets with applications to uniformization
Dimitrios Ntalampekos
This research is motivated by the study of the geometry of fractal sets and is focused on uniformization problems: transformation of sets to canonical sets, using maps that preserv…
Non-removability of the Sierpinski Gasket
Dimitrios Ntalampekos
We prove that the Sierpiński gasket is non-removable for quasiconformal maps, thus answering a question of Bishop. The proof involves a new technique of constructing an exceptional…