3 papers
math.CO2020
Characterizing immutable sandpiles: A first look
David L. Duncan, Wesley J. Engelbrecht
By working with coefficients in or , one can define two different notions of stability for a sandpile on a graph. We call a sandpile immutable when these n…
math.CO2019
Critical group structure from the parameters of a strongly regular graph
Joshua E. Ducey, David L. Duncan, Wesley J. Engelbrecht +4
We give simple arithmetic conditions that force the Sylow -subgroup of the critical group of a strongly regular graph to take a specific form. These conditions depend only on th…
math.DG2016
The Yang-Mills flow for cylindrical end 4-manifolds
David L. Duncan
We establish various existence and uniqueness results for the Yang-Mills flow on cylindrical end 4-manifolds. We also show long-time existence and infinite-time convergence under c…