PhD Thesis
Ergodicity and Long-Time Error of Complicated Stochastic Processes and Numerical Methods
(Xuda Ye, Peking University, 2025, supervised by Prof. Zhennan Zhou)
Publications
- Xuda Ye, & Zhennan Zhou (2021)
Efficient sampling of thermal averages of interacting quantum particle systems with random batches
The Journal of Chemical Physics, 154(20)
https://doi.org/10.1063/5.0047437 [pdf] - Shi Jin, Lei Li, Xuda Ye, & Zhennan Zhou (2023)
Ergodicity and long-time behavior of the Random Batch Method for interacting particle systems
Mathematical Models and Methods in Applied Sciences, 33 (01), 67-102
https://doi.org/10.1142/S0218202523500033 [pdf] - Xuda Ye, & Zhennan Zhou (2023).
Error analysis of time-discrete Random Batch Method for interacting particle systems and associated mean-field limits
IMA Journal of Numerical Analysis, drad043
https://doi.org/10.1093/imanum/drad043 [pdf] - Xuda Ye, & Zhennan Zhou (2025)
Dimension-free ergodicity of path integral molecular dynamics
Communications in Computational Physics, 38(5), 1355-1388
https://doi.org/10.4208/cicp.OA-2024-0004 [pdf] - Xuda Ye, & Zhennan Zhou (2025) [new]
Optimal convergence rate of Lie-Trotter approximation for quantum thermal averages
arXiv preprint: 2309.05188.
https://arxiv.org/abs/2309.05188 - Jianfeng Lu, Xuda Ye, & Zhennan Zhou (2025) [new]
Mean square error analysis of stochastic gradient and variance-reduced sampling algorithms
arXiv preprint: 2511.04413
https://arxiv.org/abs/2511.04413
Xuda Ye 