Crossing probability in Gaussian Free Field
时间:2021.04.15 浏览次数:65
主题 Crossing probability in Gaussian Free Field
  • 演讲人 Professor Hao Wu(Tsinghua University )
  • 时间 2021年04月26日 周一下午3:00
  • 地点 浙江大学(玉泉校区)数学科学学院逸夫楼200-9

Abstract: Two-dimensional Gaussian free field (GFF) is a natural 2D time analogue of Brownian motion. It is also known as free bosonic field in physics literatures, and it is the building block in conformal field theory, quantum gravity and statistical physics. In this talk, we focus on estimates of crossing probability in GFF.  Such crossing probability is a delicate quantity for GFF. We will introduce discrete GFF (dGFF) and metric graph GFF (mGFF). Both objects converge to continuum GFF as distributions. However, the crossing probabilities in dGFF and in mGFF are distinct. To derive the scaling limits of crossing probabilities in dGFF and in mGFF, we will introduce Schramm Loewner evolution (SLE). It turns out that the crossing probability in dGFF converges to the so-called pure partition functions of multiple SLEs, and that the crossing probability in mGFF converges to the ``fusion” of pure partition functions.

 

This talk is based on joint works with J. Ding (UPenn), M. Wirth (UPenn),  and with M. Liu (Tsinghua).

 

吴昊,2005年进入清华大学数理基科班。2009年本科毕业后赴法国读博,主要研究随机过程Schramm Loewner Evolution,2013年博士毕业。2013-2017年,先后在美国麻省理工与瑞士日内瓦大学做博士后,主要研究高斯自由场与Ising模型。

欢迎参加!

 

联系人:苏中根,   

Email: suzhonggen@zju.edu.cn  

Tel:0571-87953676

 

                                                                               浙江大学数学科学学院

                                                                               浙江大学数据科学中心

                                                                                  

                                                                                  2021年4月14日