Potential theory on Sierpiński carpets. With applications to uniformization

DOI10.1007/978-3-030-50805-0zbMath1472.31001arXiv1805.12583OpenAlexW2807314231MaRDI QIDQ2192230

Dimitrios Ntalampekos

Publication date: 13 August 2020

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.12583

zbMATH Keywords

Sierpiński carpetcarpet-harmonic functioncarpet-quasiconformal functionsquare Sierpiński carpet

Mathematics Subject Classification ID

Fractals (28A80) Research exposition (monographs, survey articles) pertaining to measure and integration (28-02) Research exposition (monographs, survey articles) pertaining to potential theory (31-02)

Related Items (6)

Conformal uniformization of planar packings by disk packings ⋮ On the Hausdorff dimension of the residual set of a packing by smooth curves ⋮ Thin Loewner Carpets and Their Quasisymmetric Embeddings in S² ⋮ Monotone Sobolev functions in planar domains: level sets and smooth approximation ⋮ The Liouville theorem for \(p\)-harmonic functions and quasiminimizers with finite energy ⋮ Rigidity theorems for circle domains

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