Xinyi Li
Assistant Professor
Beijing International Center for Mathematical Research
Peking University
Address
Huaixinyuan 75101-2, Peking University,
5 Yiheyuan Rd.,
Beijing 100871, China
E-mail: xinyili@bicmr.pku.edu.cn
Website: http://http://bicmr.pku.edu.cn/~xinyili/

Personal Information
Born on: 24, August, 1988
Place of Birth: Chengdu, China
Citizenship: Chinese

Research Interests: Probability theory, statistical physics, random geometry.

Education and Work2019 2016 - 20192012 - 20162011 - 20122007 - 2011

Assistant Professor, BICMR, Peking University, Beijing, China.
L. E. Dickson instructor, Department of Mathematics, the University of Chicago.
Dr. sc. ETH Zurich, Department of Mathematics, ETH Zurich, Switzerland,
under supervision of Prof. Alain-Sol Sznitman. Title of thesis:
On large deviations and disconnection for random walk and random interlacements.
M. Sc. in Mathematics, Paris Dauphine University, France, as laureate ofParis Graduate School of Mathematical Sciences.
B. Sc. in Mathematics, Peking University, Beijing, China.

Works
G. Cai, X. Li and X. Sun. On the axiomatic characterization of the natural measures ofSLE cut points and CLE pivotal points. In preparation.
X. Li and Z. Zhuang. Entropic repulsion for the intersection of two indepndent
random interlacements. In preparation.
H. Du, Y. Gao, X. Li, and Z. Zhuang. Sharp estimates for probabilities of arm events in criticalplanar percolation. In preparation.
Y. Gao, X. Li and W. Qian. Multiple points on the boundaries of Brownian loop-soup clusters.
In preparation.
H. Hernandez-Torres, X. Li and D. Shiraishi. Minkowski content for the scaling limit of loop-erased
random walk in three dimensions. In preparation.
X. Li and Y. Liu. Sharpness of phase transition for Voronoi percolation in hyperbolic space.
Preprint, available at arXiv:2111.07276.
X. Li and D. Shiraishi. The Hölder continuity of the scaling limit of three-dimensional loop-erased
random walk. Preprint, available at arXiv:2111.04977.

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X. Li and D. Shiraishi. Natural parametrization for the scaling limit of loop-erased random walk inthree dimensions. Preprint, submitted.
N. Holden, G. Lawler, X. Li and X. Sun. Minkowski content of Brownian cut points.
To appear in Ann. Inst. Henri Poincaré, Probab. Stat.
N. Holden, X. Li and X. Sun. Natural parametrization of percolation interface and pivotal points.
To appear in Ann. Inst. Henri Poincaré, Probab. Stat.
X. Li and D. Shiraishi. One-point function estimates for loop-erased random walk in threedimensions. Electron. J. Probab., 24(111):1-46 (2019).
M. Hilario, X. Li and P. Panov. Shape theorem and surface fluctuation for Poisson cylinders.
Preprint. Electron. J. Probab., 24(68):1-16 (2019).
X. Li. Percolative properties of Brownian interlacements and its vacant set.
J. Theor. Probab., 33:1855-1893 (2019).
X. Li. A lower bound for disconnection by simple random walk.
Ann. Probab., 45(2):879-931, 2017.
X. Li and A.-S. Sznitman. Large deviations for occupation time profiles of random interlacements.
Probability Theory and Related Fields, 161(1-2):309-350 (2015).
X. Li and A.-S. Sznitman. A lower bound for disconnection by random interlacements.
Electronic Journal of Probability, 19(17):1-26 (2014).

Grants• Principal Investigator, National Key Research & Development Program of China Young Scientist
Fellowship CNY 3,000,000. (2022-2026)• Principal Investigator, National Science Foundation of China, Grant No. 12071012: CNY 510,000.
(2021-2024)• Participant, National Key Research & Development Program of China No. 2020YFA0712900, CNY
310,000 (CNY 4,400,000 in total). (2020-2025)• Principal Investigator, Start-up Grant of Peking University: CNY 400,000. (2020-2022)

Supervision of Students• Yifan Gao (5th year, co-supervision with Fuxi Zhang), , will be postdoc at City University of Hong
Kong from Jul. 2022.
• Yu Liu (2nd year).
• Aoteng Xia (2nd year, co-supervision with Gang Tian).
• Philippe Deprez (master, , joint with A.-S. Sznitman and D. Belius).

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Selected Talks
11/2016
11/2016
02/2017
04/2017
09/2017
09/2017
12/2017
12/2017
02/2018
03/2018
04/2018
04/2018
05/2018
08/2018
10/2018
10/2018
11/2018
01/2019
02/2019
04/2019
04/2919
07/2019
11/2019
12/2019
01/2020
12/2020
04/2021

Probability and Statistical Physics Seminar, The University of Chicago.
Probability Seminar, Northwestern University.
Courant Institute Probability and Mathematical Physics Seminar, New York University.
Probability Seminar, UCLA.
Probability Seminar, NYU Shanghai.
Probability Seminar, Peking University.
Probability Seminar, NYU Shanghai.
Kansai Probability Seminar, Kyoto University.
Probability Seminar, Stanford University.
Discrete Mathematics and Statistical Mechanics Seminar, University of Connecticut.
Probability Seminar, Michigan State University.
Probability Seminar, UCLA.
Probability Seminar, Texas A & M University.
Random Walks in Correlated and Dynamic Environments, Texas A & M University.
Statistics Seminar, University of Illinois at Chicago.
Probability Seminar, McGill University.
Probability Seminar, University of Illinois at Urbana-Champaign.
Penn/Temple Probability Seminar, University of Pennsylvania.
Probability Seminar, Purdue University.
Colloquium, University of Colorado, Colorado Springs.
Columbia Probability Seminar, Columbia University.
Seasonal Institute of Mathematical Society of Japan.
Annual meeting of the Chinese Mathematical Society.
Probability Symposium, Keio University.
Mini-course, National University of Singapore.
East China Normal University.
Colloquium, Tsinghua University.

Academic Visits
09/2017, 12/2017, 07/2020
12/2017, 06-07/2018, 07/2019

NYU Shanghai.
Kyoto University.

Community Contributions• Co-organizer of THU-PKU-BNU joint probability webinar.
• Referee for the following journals: Annals of Probability, Communications in Mathematical Physics,
Electronical Journal of Probability and Stochastic Processes and their Applications.
• Reviewer of Mathematical Reviews of the American Mathematical Society.

Languages
Chinese: native.
English: fluent (written and spoken).
French: intermediate (spoken) to fluent (written).
German: intermediate (written and spoken).
Japanese: intermediate (written).
Latin: intermediate (written).
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