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.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.GT2010★ 14 cited
Conformal dimension and random groups
John M. Mackay
We give a lower and an upper bound for the conformal dimension of the boundaries of certain small cancellation groups. We apply these bounds to the few relator and density models f…