4 papers · 1 filter
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…
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…
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…
Some Properties of the Plaquette Random-Cluster Model
Paul Duncan, Benjamin Schweinhart
We show that the -dimensional plaqutte random-cluster model with coefficients in is dual to a -dimensional plaquette random cluster model. In addition, we…