The Dobrushin order-disorder interface in the 2D q-Potts model for q>4 at Tc(q) converges to a Brownian bridge under diffusive scaling, with the same holding for FK-percolation.
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Discontinuous transition in 2D Potts: I. Order-Disorder Interface convergence
The Dobrushin order-disorder interface in the 2D q-Potts model for q>4 at Tc(q) converges to a Brownian bridge under diffusive scaling, with the same holding for FK-percolation.