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 2D random conformally invariant objects: Gaussian free field, Brownian loop soup, and percolation.
Email: yifangao at cityu dot edu dot hk
My Google scholar

Curriculum Vita

2022 - Postdoc at City University of Hong Kong
2017 - 2022 PhD at Peking University under the supervision of Fuxi Zhang and Xinyi Li
2013 - 2017 B.S. at Sun Yat-sen University

Uniqueness of generalized conformal restriction measures and Malliavin-Kontsevich-Suhov measures for c∈(0,1] (with G. Cai). arXiv, 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, 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, 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, 50 pages, 5 figures.
Scaling limit of the occupation measure of random walk cut points (with X. Li, P. Panov and D. Shiraishi). arXiv, 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, 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
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

Arm exponents in CLE and the Brownian loop soup (with P. Nolin and W. Qian).
On the non-existence of several random fractals of zero dimension derived from Brownian motion (with X. Li, R. Liu and W. Qian).
Convergence of the frontier of planar random walk in natural parametrization (with X. Li, R. Liu, X. Liu and D. Shiraishi).

Feb 2025: Percolation Today (online): Percolation of discrete GFF in dimension two
Dec 2024: Geometry of Random Fields and Random Walk Clusters: New Horizons, 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