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math.PR2025
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…
math.PR2025
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…
cond-mat.stat-mech2025
Generalized cluster algorithms for Potts lattice gauge theory
Anthony E. Pizzimenti, Paul Duncan, Benjamin Schweinhart
Monte Carlo algorithms, like the Swendsen-Wang and invaded-cluster, sample the Ising and Potts models asymptotically faster than single-spin Glauber dynamics do. Here, we generaliz…