Research Interests
- Brownian motion; Schramm-Loewner Evolution; Liouville quantum gravity;
- Critical statistical physics models; Conformal field theory.
Publications
- Gefei Cai. Monochromatic arm exponents for critical planar percolation. arXiv:2611.05101.
- Gefei Cai, Xinyi Li, Daisuke Shiraishi, and Aoteng Xia. The boosted loop-erased random walk. arXiv:2610.32821.
- Gefei Cai. A quadratic ancestor inequality for spanning trees. arXiv:2610.22180.
- Gefei Cai, Xinyi Li, and Daisuke Shiraishi. Characterization and scaling limit of three-dimensional loop-erased random walk and random-walk loop-catchers. arXiv:2610.12047
- Gefei Cai. The Brownian loop-catcher. arXiv:2607.18070.
- Morris Ang, Gefei Cai, Jesper Lykke Jacobsen, Rongvoram Nivesvivat, Paul Roux, Xin Sun, and Baojun Wu. Exact solution of three-point functions in critical loop models. arXiv:2604.05503.
- Gefei Cai. Boundary four-point connectivities of conformal loop ensembles. arXiv:2603.28161.
- Gefei Cai and Zhuoyan Xie. Backbone probability of planar Brownian motion. arXiv:2512.09683. Bernoulli, to appear.
- 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., 54(4): 2149–2172, Jul. 2026.
- Gefei Cai, Wen-Bo Li, and Tim Mesikepp. Quasisymmetric geometry of low-dimensional random spaces. arXiv:2412.06366. Adv. Math., 487: Paper No. 110758, 21, Mar. 2026.
- Morris Ang, Gefei Cai, Xin Sun, and Baojun Wu. Integrability of Conformal Loop Ensemble: Imaginary DOZZ and Beyond. arXiv:2107.01788v4. J. Amer. Math. Soc., to appear.
- 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.
Research Notes
- Gefei Cai. Supplementary note on monochromatic $n\ge4$ arm exponents for critical planar percolation. PDF. AI-assisted manuscript.
