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math-ph2024
Hadwiger Models: Low-Temperature Behavior in a Natural Extension of the Ising Model
Summer Eldridge, Benjamin Schweinhart
All isometrically invariant Markov (strictly local) fields on binary assignments are induced by energy functions that can be represented as linear combinations of area, perimeter,…
physics.comp-ph2024★ 2 cited
A Metric on the Polycrystalline Microstructure State Space
Dylan Miley, Ethan Suwandi, Benjamin Schweinhart +1
Material microstructures are traditionally compared using sets of statistical measures that are incomplete, e.g., two visually distinct microstructures can have identical grain siz…
math.PR2024
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…