49 citations · 218 across the 20 of their papers we have counts for
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math.MG2012★ 1 cited
Quasi-circles through prescribed points
John M. Mackay
We show that in an L-annularly linearly connected, N-doubling, complete metric space, any n points lie on a K-quasi-circle, where K depends only on L, N and n. This implies, for ex…
math.GT2012★ 17 cited
Embedding relatively hyperbolic groups in products of trees
John M. Mackay, Alessandro Sisto
We show that a relatively hyperbolic group quasi-isometrically embeds in a product of finitely many trees if the peripheral subgroups do, and we provide an estimate on the minimal…
math.MG2012★ 16 cited
Modulus and Poincaré inequalities on non-self-similar Sierpinski carpets
John M. Mackay, Jeremy T. Tyson, Kevin Wildrick
A carpet is a metric space homeomorphic to the Sierpinski carpet. We characterize, within a certain class of examples, non-self-similar carpets supporting curve families of nontriv…