Xinyi Li 李欣意

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.

Contact Information

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.

Seminars

I organize or co-organize the following seminars:

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 events at BICMR

Student Seminars

I also organize or co-organize student seminars on various topics in current probability research. The theme varies every semester. Please contact me directly if you are interested.

Teaching

Random Matrices surrogate (Autumn 2019)
Selected Topics in Stochastic Processes (II) (Spring 2020)
Advanced probability theory (Autumn 2020)

Works

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.
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).
N. Holden, X. Li and X. Sun. Natural parametrization of percolation interface and pivotal points. Preprint, available at arXiv:1804.07286, 24 pages, 1 figure. Submitted.
N. Holden, G. Lawler, X. Li and X. Sun. Minkowski content of Brownian cut points. Preprint, available at arXiv:1803.10613, 30 pages, 2 figures. Submitted.
X. Li. Percolative properties of Brownian interlacements and its vacant set. J. Theor. Probab., (2019) doi:10.1007/s10959-019-00944-7. Also available at arXiv:1610.08204.
X. Li. A lower bound for disconnection by simple random walk. Ann. Probab., 45(2): 879-931 (2017). Also available at arXiv:1412.3959, 38 pages.
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).