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math.PR2026
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…
math.PR2026
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…
math.PR2026
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…