49 citations · 218 across the 20 of their papers we have counts for
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math.GT2020★ 3 cited
Maps between relatively hyperbolic spaces and between their boundaries
John M. Mackay, Alessandro Sisto
We study relations between maps between relatively hyperbolic groups/spaces and quasisymmetric embeddings between their boundaries. More specifically, we establish a correspondence…
math.GR2020★ 6 cited
Poincaré profiles of Lie groups and a coarse geometric dichotomy
David Hume, John M. Mackay, Romain Tessera
Poincaré profiles are a family of analytically defined coarse invariants, which can be used as obstructions to the existence of coarse embeddings between metric spaces. In this pap…
math.MG2020★ 4 cited
Conformal dimension of hyperbolic groups that split over elementary subgroups
Matias Carrasco, John M. Mackay
We study the (Ahlfors regular) conformal dimension of the boundary at infinity of Gromov hyperbolic groups which split over elementary subgroups. If such a group is not virtually f…