Vyron Vellis

activity

20132025

most citedGeometry of measures in real dimensions via Hölder parameterizations

12 citations · 32 across the 20 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math.MG2015

Quasisymmetric extension on the real line

Vyron Vellis

We give a geometric characterization of the sets $E \subset R$ that satisfy the following property: every quasisymmetric embedding $f : E \to R^{n}$ extends to a quas…

math.MG2015★ 1 cited

Quasiconformal non-parametrizability of almost smooth spheres

Pekka Pankka, Vyron Vellis

We show that, for each $n \geq 3$ , there exists a smooth Riemannian metric $g$ on a punctured sphere $S^{n} ∖ {x_{0}}$ for which the associated length metric extends to…

math.MG2015★ 1 cited

Bi-Lipschitz embedding of the generalized Grushin plane in Euclidean spaces

Matthew Romney, Vyron Vellis

We show that, for all $α \geq 0$ , the generalized Grushin plane $G_{α}$ is bi-Lipschitz homeomorphic to a $2$ -dimensional quasiplane in the Euclidean space $\mathbb{R}^{[α]+2…