3 papers
math.GR2025
Connecting conformal dimension and Poincaré profiles
David Hume, John M. Mackay
We strengthen the connection between the Ahlfors-regular (AR) conformal dimension Confdim of a compact AR metric space and a certain critical exponent of the Poincaré prof…
math.MG2024
Topological expanders, coarse geometry and thick embeddings of complexes
David Hume
We quantify the topological expansion properties of bounded degree simplicial complexes in terms of a family of sublinear functions, in analogy with the separation profile of Benja…
math.MG2023
A coarse geometric approach to graph layout problems
Wanying Huang, David Hume, Samuel J. Kelly +1
We define a range of new coarse geometric invariants based on various graph-theoretic measures of complexity for finite graphs, including: treewidth, pathwidth, cutwidth and bandwi…