Square Sierpiński carpets and Lattès maps

DOI10.1007/s00209-019-02435-1zbMath1460.30010arXiv1801.09320OpenAlexW2993503925MaRDI QIDQ2197669

Sergei Merenkov, Mario Bonk

Publication date: 1 September 2020

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.09320

zbMATH Keywords

rigiditySierpinski carpetquasisymmetryLattès mappostcritically-finite rational map

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Quasiconformal mappings in metric spaces (30L10)

Related Items (1)

INVISIBLE SETS AND CONFORMAL DIMENSIONS OF SQUARE SIERPIŃSKI CARPETS

Cites Work

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• Quasisymmetries of Sierpiński carpet Julia sets
• Uniformization of Sierpiński carpets in the plane
• Quasisymmetric rigidity of square Sierpiński carpets
• Planar relative Schottky sets and quasisymmetric maps
• Local rigidity of Schottky maps
• Local rigidity for hyperbolic groups with Sierpiński carpet boundaries
• Topological characterization of the Sierpiński curve
• Expanding Thurston Maps

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