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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 ,…
math.MG2024
Hölder curves with exotic tangent spaces
Eve Shaw, Vyron Vellis
An important implication of Rademacher's Differentiation Theorem is that every Lipschitz curve infinitesimally looks like a line at almost all of its points in the sense that a…