Research Interests

• Brownian motion; Schramm-Loewner Evolution; Liouville quantum gravity;
• Critical statistical physics models; Conformal field theory.

Publications

• Gefei Cai and Zhuoyan Xie. Backbone probability of planar Brownian motion. arXiv:2512.09683.
• Gefei Cai, Haoyu Liu, Baojun Wu, and Zijie Zhuang. Three-point connectivity constant for q-state Potts spin clusters. arXiv:2510.05850.
• Gefei Cai, Xuesong Fu, Xin Sun, and Zhuoyan Xie. Disconnection probability of Brownian motion on an annulus. arXiv:2509.14073.
• Gefei Cai and Yifan Gao. Uniqueness of generalized conformal restriction measures and Malliavin-Kontsevich-Suhov measures for c∈(0,1]. arXiv:2502.05890. Ann. Probab., to appear.
• Gefei Cai, Wen-Bo Li, and Tim Mesikepp. Quasisymmetric geometry of low-dimensional random spaces. arXiv:2412.06366. Adv. Math., to appear.
• Morris Ang, Gefei Cai, Xin Sun, and Baojun Wu. Integrability of Conformal Loop Ensemble: Imaginary DOZZ and Beyond. arXiv:2107.01788v4.
• Morris Ang, Gefei Cai, Xin Sun, and Baojun Wu. SLE Loop Measure and Liouville Quantum Gravity. arXiv:2409.16547.
• Gefei Cai and Xinyi Li. On Natural Measures of SLE- and CLE-Related Random Fractals. arxiv:2205.01584. Ann. Inst. H. Poincaré Probab. Statist., 60(4): 2297-2327, Nov. 2024.