Title:Scaling exponents for 2D percolation via Liouville quantum gravity
Speaker:Xin Sun (Peking University)
Abstract: I will first review the recent derivation of the backbone exponent for 2D percolation via Liouville quantum gravity, based on the joint work with Nolin, Qian, and Zhuang. Then I will present a few further results obtained in this fashion, based on joint works with Ang, Liu, Xu, Yu, Zhang. It remains a challenge to understand these results using a more direct method
without quantum gravity.
Time:08/03(Saturday)10:30-11:30
Venue:Mingde Building B201-1
About the Speaker:孙鑫于2007年至2011年本科就读于北京大学数学科学学院,2017年获麻省理工学院博士学位。现为北京大学国际数学中心副教授,曾任职宾夕法尼亚大学数学系助理教授,兼任统计与数据科学助理教授,并为普林斯顿高等研究院访问学者。孙鑫主要从事概率论和数学物理等方面的研究,曾获得美国国家科学基金会早期事业奖(NSF Early Career Award)、2020年度伯努利学会新研究员奖、2023年度戴维逊奖。