Heehyun Park

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20242026

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math.PR2026

The $q < 1$ Random-Cluster Model on Wired Trees: Uniqueness and Negative Dependence

Heehyun Park

The random-cluster model with cluster weight $0 < q < 1$ is expected to exhibit negative dependence, but without FKG even pairwise negative correlation remains open on general graphs.…

math.PR2026

Uniqueness and Mixing in the Low-Temperature Random-Cluster Model on Trees and Random Graphs

Antonio Blanca, Reza Gheissari, Heehyun Park +1

We study the random-cluster model on trees and treelike graphs at low temperatures. This is a model of dependent percolation parametrized by an edge probability $p \in (0, 1)$ and a…

The q<1 Random-Cluster Model on Wired Trees: Uniqueness and Negative Dependence

Uniqueness and Mixing in the Low-Temperature Random-Cluster Model on Trees and Random Graphs

The $q < 1$ Random-Cluster Model on Wired Trees: Uniqueness and Negative Dependence