Zhenyuan Zhang

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Hi! I am a postdoctoral associate in the Laboratory for Information and Decision Systems (LIDS) at Massachusetts Institute of Technology, working with Alexander Rakhlin. In 2026, I completed my PhD in Mathematics at Stanford University, advised by Jose H. Blanchet.

I am broadly interested in probability theory and its applications. My recent interest lies in branching particle systems (or more general log-correlated fields) and their applications in polymer physics and mathematical biology. I also work on optimal transport and applications to statistics, economics, and operations research. Other topics I have been actively working on include decision trees, Gaussian processes, and hypothesis testing with e-values.

Before, I received my bachelor’s degree in Pure Mathematics from University of Waterloo, where I was fortunate to work with Profs. Alexander Schied, Yi Shen, and Ruodu Wang.

Email: zzyzzy [at] mit [dot] edu. Here is my Google scholar page.


Publications

  1. Sequential resetting procedures and false discovery rate
    Qiuqi Wang, Ruodu Wang, and Zhenyuan Zhang
    arXiv preprint, 2026
    arXiv Statistics theory
  2. Quenched first-passage asymptotics for branching random walk on a Hamming cube
    Jose Blanchet and Zhenyuan Zhang
    arXiv preprint, 2026
    arXiv Branching particle systems
  3. The exact dimensional threshold for Spearman rank-correlation compatibility
    Ruodu Wang and Zhenyuan Zhang
    arXiv preprint, 2026
    arXiv Statistics theory
  4. Precise cover times for branching random walks on Hamming graphs: (iterated) logarithmic corrections
    Zhenyuan Zhang
    arXiv preprint, 2026
    arXiv Branching particle systems
  5. Decorated stable p-adic self-similar processes with stationary increments
    Yi Shen and Zhenyuan Zhang
    Stochastic Processes and their Applications, to appear, 2026
    arXiv Stochastic processes
  6. Sample path properties of the fractional Wiener–Weierstrass bridge II
    Alexander Schied and Zhenyuan Zhang
    arXiv preprint, 2026
    arXiv Stochastic processes
  7. Diamond transports in quadratic-form and distorted optimal transport
    Ruodu Wang and Zhenyuan Zhang
    arXiv preprint, 2026
    arXiv Optimal transport
  8. Almost periodicity as a path property for p-adic self-similar processes with stationary increments
    Yi Shen and Zhenyuan Zhang
    arXiv preprint, 2026
    arXiv Stochastic processes
  9. Viral quasispecies evolution as a branching random walk on the hypercube
    Jose Blanchet and Zhenyuan Zhang
    arXiv preprint, 2026
    arXiv Branching particle systems
  10. Boundedness of discounted branching random walks via generic chaining
    Zhenyuan Zhang
    arXiv preprint, 2026
    arXiv Branching particle systems
  11. Large deviations of first passage times of branching random walks in ℝd: asymptotics and algorithms
    Jose Blanchet, Wei Cai, Shaswat Mohanty, and Zhenyuan Zhang
    arXiv preprint, 2025
    arXiv Branching particle systems
  12. Stabilizing the splits through minimax decision trees
    Zhenyuan Zhang and Hengrui Luo
    arXiv preprint, 2025
    arXiv Statistics theory
  13. Quadratic-form optimal transport
    Ruodu Wang and Zhenyuan Zhang
    Mathematical Programming, published online, 2025
    arXiv Optimal transport
  14. Sample path properties of the fractional Wiener–Weierstrass bridge
    Alexander Schied and Zhenyuan Zhang
    Bernoulli, 2026
    arXiv Stochastic processes
  15. Tightness analysis of first passage times of d-dimensional branching random walk
    Jose Blanchet and Zhenyuan Zhang
    arXiv preprint, 2024
    arXiv Branching particle systems
  16. On the first passage times of branching random walks in ℝd
    Jose Blanchet, Wei Cai, Shaswat Mohanty, and Zhenyuan Zhang
    The Annals of Applied Probability, 2026
    arXiv Branching particle systems
  17. Empirical martingale projections via the adapted Wasserstein distance
    Jose Blanchet, Johannes Wiesel, Erica Zhang, and Zhenyuan Zhang
    The Annals of Applied Probability, 2026
    arXiv Optimal transport
  18. Universality and phase transitions in low moments of secular coefficients of critical holomorphic multiplicative chaos
    Haotian Gu and Zhenyuan Zhang
    Probability Theory and Related Fields, 2026
    arXiv Branching particle systems
  19. Modeling shortest paths in polymeric networks using spatial branching processes
    Zhenyuan Zhang, Shaswat Mohanty, Jose Blanchet, and Wei Cai
    Journal of the Mechanics and Physics of Solids, 2024
    arXiv Branching particle systems
  20. On the existence of powerful p-values and e-values for composite hypotheses
    Zhenyuan Zhang, Aaditya Ramdas, and Ruodu Wang
    The Annals of Statistics, 2024
    arXiv Statistics theory
  21. Weierstrass bridges
    Alexander Schied and Zhenyuan Zhang
    Transactions of the American Mathematical Society, 2024
    arXiv Stochastic processes
  22. Composite sorting
    Job Boerma, Aleh Tsyvinski, Ruodu Wang, and Zhenyuan Zhang
    arXiv preprint, 2023
    arXiv Optimal transport
  23. Martingale transports and Monge maps
    Marcel Nutz, Ruodu Wang, and Zhenyuan Zhang
    The Annals of Applied Probability, 2024
    arXiv Optimal transport
  24. Consensus on dynamic stochastic block models: fast convergence and phase transitions
    Haoyu Wang, Jiaheng Wei, and Zhenyuan Zhang
    arXiv preprint, 2022
    arXiv Probability models
  25. Simultaneous optimal transport
    Ruodu Wang and Zhenyuan Zhang
    Transactions of the American Mathematical Society, 2025
    arXiv Optimal transport
  26. A limit theorem for Bernoulli convolutions and the Φ-variation of functions in the Takagi class
    Xiyue Han, Alexander Schied, and Zhenyuan Zhang
    Journal of Theoretical Probability, 2022
    arXiv Roughness analysis
  27. A probabilistic approach to the Φ-variation of classical fractal functions with critical roughness
    Xiyue Han, Alexander Schied, and Zhenyuan Zhang
    Statistics & Probability Letters, 2021
    arXiv Roughness analysis
  28. On the pth variation of a class of fractal functions
    Alexander Schied and Zhenyuan Zhang
    Proceedings of the American Mathematical Society, 2020
    arXiv Roughness analysis
  29. On discrete-time self-similar processes with stationary increments
    Yi Shen and Zhenyuan Zhang
    Electronic Journal of Probability, 2021
    arXiv Stochastic processes