Zhenyuan Zhang

Zhenyuan Zhang

PhD Student

Stanford University

Hi! I am a third-year Ph.D. student in Mathematics at Stanford University, advised by Prof. Jose H. Blanchet. I am broadly interested in probability theory and its applications.

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

Outside of research, I enjoy playing tennis 🎾 and traveling 🗺. My MBTI is ISTP.

Email: zzy [at] stanford [dot] edu.

Interests
  • Probability Theory
Education

  • PhD in Mathematics, 2021 - Present

    Stanford University

  • BMath in Pure Mathematics, 2016 - 2020

    University of Waterloo

Publications

Empirical martingale projections via the adapted Wasserstein distance
In submission, 2024+
Jose Blanchet, Johannes Wiesel, Erica Zhang, Zhenyuan Zhang
PDF ArXiv
Universality and Phase Transitions in Low Moments of Secular Coefficients of Critical Holomorphic Multiplicative Chaos
In submission, 2024+
Haotian Gu, Zhenyuan Zhang
PDF ArXiv
Modeling Shortest Paths in Polymeric Networks using Spatial Branching Processes
In submission, 2024+
Zhenyuan Zhang, Shaswat Mohanty, Jose Blanchet, Wei Cai
PDF ArXiv
When do exact and powerful p-values and e-values exist?
In submission, 2023+
Zhenyuan Zhang, Aaditya Ramdas, Ruodu Wang
PDF ArXiv
Weierstrass Bridges
To appear in Transactions of the AMS, 2024+
Alexander Schied, Zhenyuan Zhang
PDF ArXiv
Composite Sorting
In submission, 2023+
Job Boerma, Aleh Tsyvinski, Ruodu Wang, Zhenyuan Zhang
PDF ArXiv
Martingale Transports and Monge Maps
In submission, 2023+
Marcel Nutz, Ruodu Wang, Zhenyuan Zhang
PDF ArXiv
Simultaneous Optimal Transport
In Submission, 2022+
Ruodu Wang, Zhenyuan Zhang
PDF ArXiv
Consensus on Dynamic Stochastic Block Models: Fast Convergence and Phase Transitions
In submission, 2022+
Haoyu Wang, Jiaheng Wei, Zhenyuan Zhang
PDF ArXiv
A Limit Theorem for Bernoulli Convolutions and the Φ-Variation of Functions in the Takagi Class
Journal of Theoretical Probability, 2022
Xiyue Han, Alexander Schied, Zhenyuan Zhang
PDF ArXiv
On discrete-time self-similar processes with stationary increments
Electronic Journal of Probability, 2021
Yi Shen, Zhenyuan Zhang
PDF ArXiv
A probabilistic approach to the Φ-variation of classical fractal functions with critical roughness
Statistics & Probability Letters, 2021
Xiyue Han, Alexander Schied, Zhenyuan Zhang
PDF ArXiv
On the 𝑝th variation of a class of fractal functions
Proceedings of the AMS, 2020
Alexander Schied, Zhenyuan Zhang
PDF ArXiv