**Assistant Professor** at Beijing International Center for Mathematical Research, Peking University.

My main research interests are probability theory and statistical physics.

I was an L. E. Dickson instructor at the University of Chicago from 2016 to 2019.
I received my Ph.D. from ETH Zurich. My advisor was Professor Alain-Sol Sznitman.

Address:
Beijing International Center for Mathematical Research

Peking University

5 Yiheyuan Rd., Beijing 100871

China

地址:
100871北京市颐和园路5号北京大学北京国际数学研究中心

Office: 镜春园78号院(怀新园)75101-2

Coordinates: 39°59'47.4"N 116°18'36.0"E

E-mail: firstnamelastname at bicmr dot pku dot edu dot cn

A (not always up-to-date) version of my CV can be found here.

- 北京大学概率论系列报告 (The Probability Seminar at the School of Mathematical Sciences of PKU).
- THU-PKU-BNU Joint Probability Webinar.
- Probability seminars and mini-courses at BICMR.

- Student Seminar on loop soups and related topics (Spring 2022).
- 3+X Seminar on triviality of high-dimensional Ising and Phi^4 models and Wulff crystals. (Spring 2022).
- Student seminar (Fall 2021).
- 3+X Seminar (journal club) (Fall 2021).
- Student Seminar on Gaussian free field, Liouville quantum gravity and Gaussian multiplicative chaos (Spring 2021).
- Undergraduate and Graduate Journal club (Spring 2021).
- 3+X Seminar on random trees, random planar maps and their scaling limits (Autumn 2020).
- Student Seminar on Schramm-Loewner Evolution (Autumn 2020).

- Y. Gao, P. Panov, X. Li and D. Shiraishi. The scaling limit of the occupation measure of random walk cut points.
*Preprint*, available at arXiv:2310.09592, 57 pages, 12 figures. - Y. Chang, H. Du and X. Li. Percolation threshold for Brownian loop soup on metric graphs.
*Preprint*, available at arXiv:2304.08225, 8 pages, 1 figure. - H. Du, Y. Gao, X. Li, and Z. Zhuang. Sharp estimates for probabilities of arm events in critical planar percolation.
*Preprint*, available at arXiv:2205.15901, 50 pages, 10 figures. - X. Li and Z. Zhuang. On large deviations and intersection of random interlacements. To appear in
*Bernoulli*. Also available at, arXiv:2205.13953, 16 pages. - Y. Gao, X. Li and W. Qian. Multiple points on the boundaries of Brownian loop-soup clusters.
*Preprint*, available at arXiv:2205.11468, 55 pages, 12 figures. - X. Li and R. Liu. The intermediate level-sets of the four-dimensional membrane model.
*Preprint*, available at arXiv:2205.03621, 22 pages. - G. Cai and X. Li.
On natural measures of SLE- and CLE-related random fractals. To appear in
*Ann. Inst. H. Poincaré Probab. Stat.*. Also available at arXiv:2205.01584, 34 pages, 2 figures. - X. Li and Y. Liu. Sharpness of phase transition for Voronoi percolation in hyperbolic space.
*Preprint*, available at arXiv:2111.07276, 11 pages. - X. Li and D. Shiraishi. The Hölder continuity of the scaling limit of three-dimensional loop-erased random walk. .
*Electron. J. Probab.*,**19**, 27, pp. 1-37 (2022).

- X. Li and D. Shiraishi. Natural parametrization for the scaling limit of loop-erased random walk in three dimensions.
*Preprint*, available at arXiv:1811.11685, 74 pages, 3 figures. Submitted. - N. Holden, X. Li and X. Sun. Natural parametrization of percolation interface and pivotal points.
*Ann. Inst. H. Poincaré Probab. Stat.*,**58**, 1, pp. 7-25 (2022). Also available at arXiv:1804.07286. - N. Holden, G. Lawler, X. Li and X. Sun. Minkowski content of Brownian cut points.
*Ann. Inst. H. Poincaré Probab. Stat.*,**58**, 1, pp. 455-488 (2022). Also available at arXiv:1803.10613. - X. Li and D. Shiraishi. One-point function estimates for loop-erased random walk in three dimensions.
*Electron. J. Probab.*,**24**, 111, pp. 1-46 (2019). - M. Hilario, X. Li and P. Panov. Shape theorem and surface fluctuation for Poisson cylinders.
*Electron. J. Probab.*,**24**, 68, pp. 1-16 (2019). - X. Li. Percolative properties of Brownian interlacements and its vacant set.
*J. Theor. Probab.*(2019). Also available at arXiv:1610.08204.

- X. Li. A lower bound for disconnection by simple random walk.
*Ann. Probab.*,**45**, 2, pp. 879-931 (2017). Also available at arXiv:1412.3959. - X. Li and A.-S. Sznitman. A lower bound for disconnection by random interlacements.
*Electron. J. Probab.*,**19**, 17, pp. 1-26 (2014).

- X. Li and A.-S. Sznitman. Large deviations for occupation time profiles of random interlacements.
*Probab. Theory Relat. Fields*,**161**, 1-2, pp. 309-350 (2015).

- Probability and Statistics (Spring 2022).
- Advanced probability theory (Autumn 2021).
- Probability and Statistics (Spring 2021, for Yuanpei College).
- Advanced probability theory (Autumn 2020).
- Selected Topics in Stochastic Processes (II) (Spring 2020).
- Random Matrices surrogate (Autumn 2019.)