Quasiconformal and geodesic trees



Meyer, D and Bonk, M
(2020) Quasiconformal and geodesic trees. Fundamenta Mathematicae, 250 (3). pp. 253-299.

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Abstract

A quasiconformal tree is a metric tree that is doubling and of bounded turning. We prove that every quasiconformal tree is quasisymmetrically equivalent to a geodesic tree with Hausdorff dimension arbitrarily close to 1.

Item Type: Article
Uncontrolled Keywords: quasiconformal tree, geodesic tree, quasisymmetry, doubling metric spaces, bounded turning, conformal dimension
Depositing User: Symplectic Admin
Date Deposited: 27 Feb 2020 16:38
Last Modified: 19 Jan 2023 00:03
DOI: 10.4064/fm749-7-2019
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3075034

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