2 papers
math.CO2026
A formal framework for higher-order spin models via hypergraphs, polymatroids, and the Tutte polynomial
Khallil Berrekkal, Joanna A. Ellis-Monaghan, Merijn Moody +1
We develop a rigorous mathematical framework for statistical mechanics models on hypergraphs, and give conditions for lifting the classical connection between Potts model partition…
stat.ME2026
Modeling Discrete Data with High-Order Vector Potts Models
Aaron De Clercq, Merijn Moody, Clélia de Mulatier
Modeling high-dimensional data is challenging, yet essential to understanding many complex systems. Maximum entropy models such as Ising and Potts models have been used extensively…