3 papers
math-ph2026
Conformal invariance of the planar four-state Potts model and its random-cluster representation
Emile Averous, Hugo Duminil-Copin, Tiancheng He +2
For the critical random-cluster model on with cluster-weight , we prove the convergence of loops to CLE(4) in the scaling limit. Conformal invariance of the four…
math-ph2026
Conformal invariance of the six-vertex model's height function
Emile Averous, Hugo Duminil-Copin, Tiancheng He +2
In this paper, we show that the height function of the six-vertex model in simply connected domains with piecewise constant boundary conditions converges to the Gaussian Free Field…
math.PR2025
The near-critical random bond FK-percolation model
Emile Avérous, Rémy Mahfouf
We study FK-percolation where the edge parameters are chosen as independent random variables in the near-critical regime. We show that if these parameters satisfy a natural centeri…