论文标题
二维连续性随机场Ising模型
The two-dimensional continuum random field Ising model
论文作者
论文摘要
在本文中，我们通过缩放临界二维ISING模型的随机场扰动的缩放限制构建二维连续性随机场ISING模型。此外，我们表明，几乎可以肯定的是，关于白噪声给出的连续性随机场，磁化场的定律相对于Camia，Garban和Newman构建的二维连续纯using模型而言是单数的。
In this paper we construct the two-dimensional continuum random field Ising model via scaling limits of a random field perturbation of the critical two-dimensional Ising model with diminishing disorder strength. Furthermore, we show that almost surely with respect to the continuum random field given by a white noise, the law of the magnetisation field is singular with respect to that of the two-dimensional continuum pure Ising model constructed by Camia, Garban and Newman.
