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Preprints and publications

• Quantitative stochastic homogenization for long-range random walks with critical jump index.
  (with Xin Chen, Jian Wang)
  [arXiv]
• Relaxation to equilibrium of conservative dynamics II: non-gradient exclusion processes.
  (with Linzhi Yang)
  [arXiv]
• The diffusivity of supercritical Bernoulli percolation is infinitely differentiable.
  (with Wenhao Zhao)
  [arXiv]
• Coupling between Brownian motion and random walks on the infinite percolation cluster.
  (with Zhonggen Su, Ruizhe Xu)
  accepted by Probab. Theory Relat. Fields.
  [arXiv] [Journal]
• Size distribution of clusters in site-percolation on random recursive tree.
  (with Linglong Yuan)
  accepted by Acta. Math. Sin.-English Ser.
  [arXiv]
• Random walk on dynamical percolation in Euclidean lattices: separating critical and supercritical regimes.
  (with Jianping Jiang, Yuval Peres, Zhan Shi, Hao Wu, Fan Yang)
  [arXiv]
• Speed of random walk on dynamical percolation in nonamenable transitive graphs.
  (with Jianping Jiang, Yuval Peres, Zhan Shi, Hao Wu, Fan Yang)
  [arXiv]
• Quantitative homogenization and hydrodynamic limit of non-gradient exclusion process.
  (with Tadahisa Funaki and Han Wang)
  accepted by Comm. Pure Appl. Math.
  [arXiv] [Journal]
• Quantitative equilibrium fluctuations for interacting particle.
  (with Jean-Christophe Mourrat and Maximilian Nitzschner)
  accepted by Ann. Appl. Probab.
  [arXiv] [Journal]
• Power law decay at criticality for the q-state antiferromagnetic Potts model on regular trees.
  (with Wei Wu and Kuan Yang)
  Electron. J. Probab. 30, 1-25 (January 2025).
  [arXiv] [Journal]
• Smoothness of the diffusion coefficients for particle systems in continuous space.
  (with Arianna Giunti, Jean-Christophe Mourrat and Maximilian Nitzschner)
  Comm. Contemp. Math. 25 (3), 2250027 (April 2023).
  [arXiv] [Journal]
• A growth-fragmentation-isolation process on random recursive trees and contact tracing.
  (with Vincent Bansaye and Linglong Yuan)
  Ann. Appl. Probab. 33 (6B), 5233-5278 (December 2023).
  [arXiv] [Journal]
• Quantitative homogenization of interacting particle systems.
  (with Arianna Giunti and Jean-Christophe Mourrat)
  Ann. Probab. 50 (5), 1885-1946 (September 2022).
  [arXiv] [Journal]
• Decay of semigroup for an infinite interacting particle system on continuum configuration spaces.
  [arXiv]
• Mathematical recommendations to fight against COVID-19.
  (with Wei Jiang, Tianyuan Zhao, Ban Zheng)
  [ssrn]
• Quantitative homogenization of the parabolic and elliptic Green's functions on percolation clusters.
  (with Paul Dario)
  Ann. Probab. 49 (2), 556-636 (March 2021).
  [arXiv] [Journal]
• An efficient algorithm for solving elliptic problems on percolation clusters.
  Ann. Appl. Probab. 32 (4), 2755-2810 (August 2022).
  [arXiv] [Journal]
• Forbidden transactions and black markets.
  (with Qingyun Wu and Alvin E. Roth)
  Math. Oper. Res. 47 (4), 3084-3109 (November 2022).
  [Journal]
• Uniform estimate of an iterative method for elliptic problems with rapidly oscillating coefficients.
  Stoch PDE: Anal Comp. 8, 787-818 (December 2020).
  [arXiv] [Journal]

Thesis

• PhD thesis supervised by Jean-Christophe Mourrat (April 2021). [pdf]
• M2 thesis on homogenization supervised by Jean-Christophe Mourrat (July 2018). [pdf]
• M1 thesis on Liouville gravity supervised by Pascal Maillard (July 2017). [pdf]
• Bachelor thesis on Onsager's conjecture supervised by Zhen Lei (January 2014). [pdf]

Students

• Mingyuan Shen (PhD, 2026 - )
• Han Wang (PhD, 2025 - , jointly supervised with Yuval Peres)
• Linzhi Yang (PhD, 2024 - )
• Baige Zhou (PhD, 2022 - , jointly supervised with Hui Yu and Zuoqiang Shi)

Recorded Videos [list]

Miscellaneous Writing [list]