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Quasiconformal and geodesic trees

Published 20 Feb 2019 in math.MG and math.CV | (1902.07691v3)

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.

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Authors (2)

  1. Mario Bonk 
  2. Daniel Meyer 

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