论文标题
Potts界面沿墙的不变性原理
Invariance principle for a Potts interface along a wall
论文作者
论文摘要
我们考虑最近的邻二维POTTS模型，边界条件导致沿盒子的底壁存在界面。我们表明，经过合适的扩散缩放，界面薄弱地收敛到标准的布朗游览。
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.
