GAO Yifan 高一帆
I am an Assistant Professor at the Institute for Theoretical Sciences, Westlake University. My research lies at the intersection of probability theory and mathematical physics, with a focus on statistical physics and random geometry, including Gaussian free field, Brownian loop soup, percolation, and Schramm-Loewner evolution.
Email: gaoyifan75 at westlake dot edu dot cn
Address: No. 600 Dunyu Road, Xihu district, Hangzhou, Zhejiang Province, China, 310030 (浙江省杭州市西湖区墩余路600号, 310030)
Office: 303, E14 Research Center (E14科研中心303)
Curriculum Vita
2025 - Assistant Professor, Westlake University
2022 - 2025 Postdoc at City University of Hong Kong, with Pierre Nolin and Wei Qian
2017 - 2022 Ph.D. at Peking University, under the supervision of Xinyi Li and Fuxi Zhang
2013 - 2017 B.S. at Sun Yat-sen University
Works
Generalized intersection exponents and local cut points for three-dimensional Brownian loop soup (with R. Li and X. Li). arXiv:2605.17494, 24 pages.
One-arm probabilities for the two-dimensional metric-graph and discrete Gaussian free field (with Y. Bi and X. Li). arXiv:2603.25400, 24 pages.
Arm events in critical planar loop soups (with Y. Bi, P. Nolin and W. Qian). arXiv:2509.25024, 20 pages, 3 figures.
Non-existence of several random fractals in the Brownian motion and the Brownian loop soup (with X. Li, R. Liu and W. Qian). Ann. Probab. (to appear), 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). Sci. China Math., 2026. arXiv:2504.13743
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). Ann. Probab. (to appear), 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). Electron. J. Probab. (to appear), 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., 54(1):216-268, 2026. arXiv:2205.11468
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
Yijie Bi, Gefei Cai, Hang Du, Ruixuan Li, 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