Sets of minimal Hausdorff dimension for quasiconformal maps

DOI10.1090/S0002-9939-00-05433-2zbMath0954.30007OpenAlexW1485219104MaRDI QIDQ4505891

Jeremy T. Tyson

Publication date: 3 October 2000

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-00-05433-2

zbMATH Keywords

Hausdorff dimensionquasiconformal maps

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Hausdorff and packing measures (28A78)

Related Items (18)

The ϕ-Topological Conformal Dimension for the Sierpinski Carpet ⋮ Quasisymmetric dimension distortion of Ahlfors regular subsets of a metric space ⋮ Some geometric properties of sets defined by digit restrictions ⋮ Quasisymmetric equivalence of self-similar sets ⋮ Quasiconformal dimensions of selfsimilar fractals ⋮ Quasiconformal distortion of the Assouad spectrum and classification of polynomial spirals ⋮ On the equivalence of weak quasisymmetry and quasisymmetry on non-connected sets ⋮ Construction of 𝑝-energy and associated energy measures on Sierpiński carpets ⋮ Unnamed Item ⋮ On quasisymmetric minimality of Cantor sets ⋮ Quasisymmetrically minimal uniform Cantor sets ⋮ Conformal dimension of the antenna set ⋮ Hausdorff dimension distribution of quasiconformal mappings on the Heisenberg group ⋮ Conformal dimension does not assume values between zero and one ⋮ Global conformal Assouad dimension in the Heisenberg group ⋮ ON QUASISYMMETRIC MINIMALITY OF HOMOGENEOUS PERFECT SETS ⋮ Topological conformal dimension ⋮ The continuity of dimensions and quasisymmetrical equivalence of parameterized homogeneous Moran sets

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
• Quasiconformal maps in metric spaces with controlled geometry
• At the boundary of some hyperbolic polyhedra
• Extremal length and p-capacity
• Lectures on \(n\)-dimensional quasiconformal mappings
• Dimension conforme et sphère à l'infini des variétés à courbure négative
• Quasisymmetric embeddings of metric spaces
• Hausdorff Dimension and Quasiconformal Mappings
• Lowering the Assouad dimension by quasisymmetric mappings

This page was built for publication: Sets of minimal Hausdorff dimension for quasiconformal maps