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 pro…
math.MG2025
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…
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…