Invariance principle for a Potts interface along a wall
Probability
2020-08-13 v3 Statistical Mechanics
Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.2001.04737,
title = {Invariance principle for a Potts interface along a wall},
author = {Dmitry Ioffe and Sébastien Ott and Yvan Velenik and Vitali Wachtel},
journal= {arXiv preprint arXiv:2001.04737},
year = {2020}
}
Comments
Correction of minor typos