34 citations · 49 across the 20 of their papers we have counts for
24 papers
A Topological Formula for Potts Lattice Gauge Theory Correlations
Paul Duncan, Benjamin Schweinhart
We exhibit a formula relating the correlation between Wilson loop variables in Potts lattice gauge theory to a topological quantity in the plaquette random cluster model. As applic…
A Cellular Representation of the Potts Lattice Higgs Model
Summer Eldridge, Malin P. Forsström, Benjamin Schweinhart
The -dimensional Potts lattice Higgs model is a random assignment of spins in to the -dimensional cells of a cell complex induced by a Hamiltonian with a Potts…
Voronoi Percolation: Topological Stability and Giant Cycles
Benjamin Schweinhart, Morgan Shuman
We study the topological stability of Voronoi percolation in higher dimensions. We show that slightly increasing p allows a discretization that preserves increasing topological pro…
Disks, Surfaces, and Entanglement Percolation
Paul Duncan, Benjamin Schweinhart, David Sivakoff
We study the probability that a loop is null-homotopic -- that is, bounded by the continuous image of a disk -- in plaquette percolation on Locally, the event that…
Dependence of Microstructure Classification Accuracy on Crystallographic Data Representation
Shrunal Pothagoni, Dylan Miley, Tyrus Berry +2
Convolutional neural networks are increasingly being used to analyze and classify material microstructures, motivated by the possibility that they will be able to identify relevant…
On the Continuity of Enhancement Percolation
Paul Duncan, Benjamin Schweinhart, David Sivakoff
We study bond percolation in with an unbounded family of enhancements that enable additional bonds to act as open. A natural question is whether percolation occurs i…