Quasiconformal and geodesic trees
arXiv:1902.07691 · doi:10.4064/fm749-7-2019
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.
51 pages, 6 Figures