42 citations · 103 across the 15 of their papers we have counts for
Showing 2017Show all
3 papers · 1 filter
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.GR2017★ 3 cited
Extending group actions on metric spaces
C. Abbott, D. Hume, D. Osin
We address the following natural extension problem for group actions: Given a group , a subgroup , and an action of on a metric space, when is it possible to extend…
math.GR2017★ 5 cited
Groups with no coarse embeddings into hyperbolic groups
David Hume, Alessandro Sisto
We introduce an obstruction to the existence of a coarse embedding of a given group or space into a hyperbolic group, or more generally into a hyperbolic graph of bounded degree. T…