49 citations · 218 across the 20 of their papers we have counts for
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math.GR2017★ 14 cited
Poincaré profiles of groups and spaces
David Hume, John M. Mackay, Romain Tessera
We introduce a spectrum of monotone coarse invariants for metric measure spaces called Poincaré profiles. The two extremes of this spectrum determine the growth of the space, and t…
math.MG2017★ 21 cited
A Metrizable Topology on the Contracting Boundary of a Group
Christopher H. Cashen, John M. Mackay
The 'contracting boundary' of a proper geodesic metric space consists of equivalence classes of geodesic rays that behave like rays in a hyperbolic space. We introduce a geometrica…