Yifan Gao   高一帆

I am an Assistant Professor at the Institute for Theoretical Sciences, Westlake University. Before joining Westlake in 2025, I was a postdoc at City University of Hong Kong, hosted by Pierre Nolin and Wei Qian. I received my Ph.D. from Peking University in 2022 under the supervision of Xinyi Li and Fuxi Zhang, and my B.S. from Sun Yat-sen University in 2017.

My research is in statistical physics and random geometry, with particular interests in the Gaussian free field, Brownian loop soups, 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)

Files/jiufen.jpg

Preprints

• Generalized intersection exponents and local cut points for three-dimensional Brownian loop soup
  Yifan Gao, Ruixuan Li, and Xinyi Li. arXiv:2605.17494, 24 pages.
• One-arm probabilities for the two-dimensional metric-graph and discrete Gaussian free field
  Yijie Bi, Yifan Gao, and Xinyi Li. arXiv:2603.25400, 24 pages.
• Arm events in critical planar loop soups
  Yijie Bi, Yifan Gao, Pierre Nolin, and Wei Qian. arXiv:2509.25024, 20 pages, 3 figures.
• Non-existence of several random fractals in the Brownian motion and the Brownian loop soup
  Yifan Gao, Xinyi Li, Runsheng Liu, and Wei Qian. Ann. Probab. (to appear), arXiv:2507.20324, 46 pages, 7 figures.
• Up-to-constants estimates of four-arm events for simple conformal loop ensemble
  Yifan Gao, Pierre Nolin, and Wei Qian. arXiv:2504.06202, 36 pages, 12 figures.
• A boundary Harnack principle and its application to analyticity of 3D Brownian intersection exponents
  Yifan Gao, Xinyi Li, Yifan Li, Runsheng Liu, and Xiangyi Liu. arXiv:2411.14921, 49 pages, 5 figures.
• Percolation of discrete GFF in dimension two II. Connectivity properties of two-sided level sets
  Yifan Gao, Pierre Nolin, and Wei Qian. arXiv:2409.16273, 71 pages, 8 figures.
• Percolation of discrete GFF in dimension two I. Arm events in the random walk loop soup
  Yifan Gao, Pierre Nolin, and Wei Qian. arXiv:2409.16230, 50 pages, 5 figures.

Publications

• Uniqueness of generalized conformal restriction measures and Malliavin-Kontsevich-Suhov measures for c∈(0,1]
  Gefei Cai and Yifan Gao. Ann. Probab., 54(4):2149-2172, 2026. Journal, arXiv:2502.05890
• Scaling limit of the occupation measure of random walk cut points
  Yifan Gao, Xinyi Li, Petr Panov, and Daisuke Shiraishi. Electron. J. Probab., 31:1-63, 2026. Journal, arXiv:2310.09592
• Convergence in natural parametrization of random walk frontier
  Yifan Gao, Xinyi Li, Runsheng Liu, Xiangyi Liu, and Daisuke Shiraishi. Sci. China Math., 69:1299-1330, 2026. Journal, arXiv:2504.13743
• Multiple points on the boundaries of Brownian loop-soup clusters
  Yifan Gao, Xinyi Li, and Wei Qian. Ann. Probab., 54(1):216-268, 2026. Journal, arXiv:2205.11468
• Sharp asymptotics for arm probabilities in critical planar percolation
  Hang Du, Yifan Gao, Xinyi Li, and Zijie Zhuang. Comm. Math. Phys., 405(182), 2024. Journal, arXiv:2205.15901
• On the chemical distance exponent for the two-sided level set of the two-dimensional Gaussian free field
  Yifan Gao and Fuxi Zhang. ALEA Lat. Am. J. Probab. Math. Stat., 19(1):729-753, 2022. Journal, 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
• My Google scholar