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math.PR2026
Negative Correlations for Forests and the Random Cluster Model
Recep Altar Çiçeksiz, Mohan Ravichandran
We study negative edge correlation for two well-known models in statistical physics, the arboreal gas and the random-cluster model. We show that after the edges and …
math.PR2025
Connectivity for square percolation and coarse cubical rigidity in random right-angled Coxeter groups
Jason Behrstock, R. Altar Ciceksiz, Victor Falgas-Ravry
We consider random right-angled Coxeter groups, , whose presentation graph is taken to be an Erdős--Rényi random graph, i.e., . We use techniques…