2 papers
math.MG2026
Quasiconformal uniformization and extension for planar trees
Fotis Ioannidis, Fotis Ioannidis Vyron Vellis, Vyron Vellis
A classical uniformization theorem of Ahlfors from 1963 asserts that every bounded turning planar arc is the image of the unit segment under a quasiconformal self-map of the plane.…
math.MG2024
Universal quasiconformal trees
Efstathios Konstantinos Chrontsios Garitsis, Fotis Ioannidis, Vyron Vellis
A quasiconformal tree is a doubling (compact) metric tree in which the diameter of each arc is comparable to the distance of its endpoints. We show that for each integer ,…