论文标题
通风的$ _2 $流程和3D ISING模型
The Airy$_2$ process and the 3D Ising model
论文作者
论文摘要
法拉利 - 史波斯扩散过程是2D ISING模型的极限过程以及面积罚款的随机步行。由3D ISING模型激励，我们认为这种扩散的$ m $不是相交的。我们表明，顶部流程将$ m \ to \ infty $融合到通风$ _2 $的过程中。然后，我们解释与3D Ising模型的关系，并提出一些关于它的猜想。
The Ferrari-Spohn diffusion process arises as limit process for the 2D Ising model as well as random walks with area penalty. Motivated by the 3D Ising model, we consider $M$ such diffusions conditioned not to intersect. We show that the top process converges to the Airy$_2$ process as $M\to\infty$. We then explain the relation with the 3D Ising model and present some conjectures about it.
