2 citations · 2 across the 1 of their papers we have counts for
4 papers
Dirichlet-Poincaré profiles of graphs and groups
David Hume
We define Poincaré profiles of Dirichlet type for graphs of bounded degree, in analogy with the Poincaré profiles (of Neumann type) defined in [HMT19]. The obvious first definition…
Poorly connected groups
David Hume, John M. Mackay
We investigate groups whose Cayley graphs have poor\-ly connected subgraphs. We prove that a finitely generated group has bounded separation in the sense of Benjamini--Schramm--Tim…
Actions of small cancellation groups on hyperbolic spaces
Carolyn Abbott, David Hume
We generalize Gruber--Sisto's construction of the coned--off graph of a small cancellation group to build a partially ordered set of cobounded actions of a given sma…
The geometry of generalized loxodromic elements
Carolyn R. Abbott, David Hume
We explore geometric conditions which ensure a given element of a finitely generated group is, or fails to be, generalized loxodromic; as part of this we prove a generalization of…