12 citations · 32 across the 20 of their papers we have counts for
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math.MG2020★ 1 cited
Bi-Lipschitz geometry of quasiconformal trees
Guy C. David, Vyron Vellis
A quasiconformal tree is a doubling metric tree in which the diameter of each arc is bounded above by a fixed multiple of the distance between its endpoints. We study the geometry…
math.DS2020
On uniformly disconnected Julia sets
Alastair N. Fletcher, Vyron Vellis
It is well-known that the Julia set of a hyperbolic rational map is quasisymmetrically equivalent to the standard Cantor set. Using the uniformization theorem of David and Semmes,…