2022年春概率“3+X”讨论班

时间：每周五18:40-21:00

地点：理一1418+线上

指导者：丁剑 李欣意

课程简介：本学期“3+x”概率论讨论班的主题分为三部分：渗流中RSW理论的一个普适的推广，Ising以及Phi^4模型在高维的平凡性以及渗流、Ising模型、FK渗流（随机簇）模型的Wulff晶体。

参考讲义及论文：

Köhler-Schindler and Tassion: Crossing probabilities for planar percolation. https://arxiv.org/abs/2011.04618

M. Aizenman, Geometric analysis of φ^4 fields and Ising models. I, II, Comm. Math. Phys., 86(1):1–48, 1982.

Fröhlich: On the triviality of λφ^4_d theories and the approach to the critical point in d >(=) 4 dimensions, Nuclear Physics B, 200(2):281–296, 1982.

Aizenman and Duminil-Copin: Marginal triviality of the scaling limits of critical 4D Ising and φ^4_4 models. https://arxiv.org/abs/1912.07973

Cerf: The Wulff Crystal in Ising and Percolation Models. https://link.springer.com/book/10.1007/b128410

论文报告安排：

4.1 冯煜阳：Crossing probabilities for planar percolation.

4.8 刘润声：Triviality of Ising in high dimensions.

4.15 赵文浩：Marginal triviality of Ising and Phi^4 in 4 dimensions.

讲义报告安排（对应Cerf讲义的章节）：

4.22 邹广翼 5 梁渝涛7

4.29 范哲睿 8 李章颂 9

5.6 邹广翼 10 梁渝涛 11

5.13 范哲睿 12 李章颂 13

5.20 刘浩宇 14 郭维豪 15

5.27 刘浩宇 16(+18,19) 

6.3 郭维豪 17