Invariance principle for a Potts interface along a wall

Tuesday, 14 January, 2020

Published in: 

arXiv:2001.04737

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.

Author(s): 

Dmitry Ioffe
Sébastien Ott
Yvan Velenik
Vitali Wachtel