学术报告：Uniqueness of the critical long-range percolation metrics

报告时间：2024年6月13日（星期四）下午14:00-16:00

报告地点：沙河校区，二教111

报告人：黄璐静，福建师范大学数学与统计学院，副教授

报告摘要：In this work, we study the random metric for the critical long-range percolation on $\mathbb{Z}^d$. A recent work by Baumler implies the subsequential scaling limit, and our main contribution is to prove that the subsequential limit is uniquely characterized by a natural list of axioms. Our proof method is hugely inspired by recent works of Gwynne and Miller , and Ding and Gwynne on the uniqueness of Liouville quantum gravity metrics. This is based on a joint work with Jian Ding and Zherui Fan.

报告人简介：黄璐静，福建师范大学数学与统计学院副教授。2018年博士毕业于北京师范大学，主要研究方向为马氏过程与统计物理平稳性。