Invariance principle for a Potts interface along a wall

Tuesday, 14 January, 2020

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We consider nearest-neighbor two-dimensional Potts models, with boundary conditions leading to the presence of an interface along the bottom wall of the box. We show that, after a suitable diffusive scaling, the interface weakly converges to the standard Brownian excursion.


Dmitry Ioffe
Sébastien Ott
Yvan Velenik
Vitali Wachtel