2 citations · 2 across the 4 of their papers we have counts for
4 papers
A Sharp Deconfinement Transition for Potts Lattice Gauge Theory in Codimension Two
Paul Duncan, Benjamin Schweinhart
In 1983, Aizenman, Chayes, Chayes, Fröhlich, and Russo proved that -dimensional Bernoulli plaquette percolation in exhibits a sharp phase transition for the event…
Topological Phases in the Plaquette Random-Cluster Model and Potts Lattice Gauge Theory
Paul Duncan, Benjamin Schweinhart
The -dimensional plaquette random-cluster model on a finite cubical complex is the random complex of -plaquettes with each configuration having probability proportional to $$…
Homological percolation on a torus: plaquettes and permutohedra
Paul Duncan, Matthew Kahle, Benjamin Schweinhart
We study higher-dimensional homological analogues of bond percolation on a square lattice and site percolation on a triangular lattice. By taking a quotient of certain infinite cel…
Pattern avoidance in ascent sequences
Paul Duncan, Einar Steingrimsson
Ascent sequences are sequences of nonnegative integers with restrictions on the size of each letter, depending on the number of ascents preceding it in the sequence. Ascent sequenc…