GAO Yifan 高一帆
I am currently a Postdoc at Department of Mathematics, City University of Hong Kong, working with Pierre Nolin and Wei Qian.My research interest is probability theory, with a focus on statistical physics and random geometry: percolation, Gaussian free field, Brownian loop soup, and Schramm-Loewner evolution.
Email: yifangao at cityu dot edu dot hk
Curriculum Vita
2022 - Postdoc at City University of Hong Kong
2017 - 2022 PhD at Peking University under the supervision of Xinyi Li and Fuxi Zhang
2013 - 2017 B.S. at Sun Yat-sen University
Works
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, 46 pages, 7 figures.
Convergence in natural parametrization of random walk frontier (with X. Li, R. Liu, X. Liu and D. Shiraishi). arXiv:2504.13743, 33 pages, 4 figures.
Up-to-constants estimates of four-arm events for simple conformal loop ensemble (with P. Nolin and W. Qian). arXiv:2504.06202, 36 pages, 12 figures.
Uniqueness of generalized conformal restriction measures and Malliavin-Kontsevich-Suhov measures for c∈(0,1] (with G. Cai). arXiv:2502.05890, 20 pages.
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, 49 pages, 5 figures.
Percolation of discrete GFF in dimension two II. Connectivity properties of two-sided level sets (with P. Nolin and W. Qian). arXiv:2409.16273, 71 pages, 8 figures.
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, 50 pages, 5 figures.
Scaling limit of the occupation measure of random walk cut points (with X. Li, P. Panov and D. Shiraishi). arXiv:2310.09592, 57 pages, 12 figures.
Multiple points on the boundaries of Brownian loop-soup clusters (with X. Li and W. Qian). Ann. Probab. (to appear), arXiv:2205.11468, 55 pages, 12 figures.
Sharp asymptotics for arm probabilities in critical planar percolation (with H. Du, X. Li and Z. Zhuang). Comm. Math. Phys., 405(182), 2024. arXiv:2205.15901
On the chemical distance exponent for the two-sided level set of the two-dimensional Gaussian free field (with F. Zhang). ALEA Lat. Am. J. Probab. Math. Stat., 19(1):729-753, 2022. arXiv:2011.04955
Coauthors
Gefei Cai, Hang Du, Xinyi Li, Yifan Li, Runsheng Liu, Xiangyi Liu, Pierre Nolin, Petr Panov, Wei Qian, Daisuke Shiraishi, Fuxi Zhang, Zijie Zhuang.
Talks
Jul 2025: The 44th Conference on Stochastic Processes and their Applications, Wrocław, Poland
Jun 2025: The 9th National Conference on Probability Theory, Changsha
May 2025: First Math Workshop of CityUHK and the University of Edinburgh, CityU, Hong Kong
May 2025: Third China-Japan-Korea Joint Probability Workshop, RIMS, Kyoto University
Feb 2025: Percolation Today (online): Percolation of discrete GFF in dimension two
Dec 2024: Geometry of Random Fields and Random Walk Clusters: New Horizons, report, MFO, Germany
Dec 2024: Youth Probability Forum, Beijing Normal University at Zhuhai
Dec 2023: Random Interacting Systems, Scaling Limits, and Universality, National University of Singapore
Jun 2023: Discrete Probability and Related Problems, Sichuan University
Feb 2023: Hong Kong Probability Seminar, HKUST
Apr 2022: THU-PKU-BNU Joint Probability Webinar (online)
Jan 2022: Probability Seminar (online), Universität zu Köln
Oct 2021: The First International Conference for Chinese Young Probability Scholars, Hunan
Links
My CV
Past student seminars
A joint Hong Kong Probability Seminar