
高一帆博士
Yifan Gao, Ph. D.
▎数学助理教授
▎概率论
◢ 邮箱:gaoyifan75@westlake.edu.cn
做时间的朋友,与真理为邻。
个人简介
高一帆,2017年于中山大学获理学学士学位,2022年于北京大学获理学博士学位。2022年至2025年在香港城市大学从事博士后研究。2025年12月加入西湖大学,担任理论科学研究院特聘研究员。
研究方向
高一帆博士的研究方向是概率论和数学物理,主要关注统计物理和随机几何相关的问题,包括高斯自由场,布朗圈集,渗流和SLE等模型。
代表论文
1. Non-existence of several random fractals in the Brownian motion and the Brownian loop soup (with X. Li, R. Liu and W. Qian). arXiv:2507.20324.
2. Uniqueness of generalized conformal restriction measures and Malliavin-Kontsevich-Suhov measures for c∈(0,1] (with G. Cai). Ann. Probab. (to appear), arXiv:2502.05890.
3. A boundary Harnack principle and its application to analyticity of 3D Brownian intersection exponents (with X. Li, Y. Li, R. Liu and X. Liu). arXiv:2411.14921.
4. Percolation of discrete GFF in dimension two II. Connectivity properties of two-sided level sets (with P. Nolin and W. Qian). arXiv:2409.16273.
5. Percolation of discrete GFF in dimension two I. Arm events in the random walk loop soup (with P. Nolin and W. Qian). arXiv:2409.16230.
6. Multiple points on the boundaries of Brownian loop-soup clusters (with X. Li and W. Qian). Ann. Probab. (to appear), arXiv:2205.11468.
7. Sharp asymptotics for arm probabilities in critical planar percolation (with H. Du, X. Li and Z. Zhuang). Comm. Math. Phys., 405(182), 2024.
联系方式
电子邮箱:gaoyifan75@westlake.edu.cn