M. Ravichandran

Negative Correlations for Forests and the $q<1$ Random Cluster Model

We study negative edge correlation for two well-known models in statistical physics, the arboreal gas and the $q<1$ random-cluster model. We show that after the edges $e$ and $f$ are removed, their Rayleigh difference is a crossing contribution minus the covariance of two endpoint-connectivity events. For the arboreal...