J. Xia

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math.PR2026

The phase transition for domination in two interacting urns with power reinforcement

Jiaming Xia

We study two interacting urns with power reinforcement $W (n) = n^{I^} \pm$ , for $I^\pm > 1$ . Using Qin's stochastic-approximation theorem as input, we reduce the phase transition problem for do…

math.PR2026

Multi-point functions of a full-plane two-state fuzzy $4$ -Potts model

Hong-Bin Chen, Jiaming Xia

We study the full-plane two-state fuzzy $4$ -Potts model, obtained by assigning independent balanced ${\pm 1}$ spins to the open clusters of a critical $q = 4$ random-cluster configu…

math.PR2026

Critical exponents for planar random-cluster model with cluster-weight $q = 4$

Hong-Bin Chen, Hugo Duminil-Copin, Tiancheng He +4

Using the Baxter-Kelland-Wu coupling and the convergence of the height function of the six-vertex model to the Gaussian Free Field, we extract critical exponents for the planar cri…

The phase transition for domination in two interacting urns with power reinforcement

Multi-point functions of a full-plane two-state fuzzy 4-Potts model

Critical exponents for planar random-cluster model with cluster-weight q=4

Multi-point functions of a full-plane two-state fuzzy $4$ -Potts model

Critical exponents for planar random-cluster model with cluster-weight $q = 4$