叶胥达 Xuda Ye
Beijing International Center for Mathematical Research, Peking University
Email: abneryepku@pku.edu.cn
Education
2016-2020: Bachelor of Science, Peking University
2020-now: Doctor of Philosophy (candidate), Peking University
Currently I major in Computational Methematics, under the supervision of Prof. Zhennan Zhou.
Applied Mathematics, Computational Physics, Stochastic Analysis, Numerical Analysis, etc.
My Publications
Ye, X., & Zhou, Z. (2021).
Efficient sampling of thermal averages of interacting quantum particle systems with random batches. The Journal of Chemical Physics, 154 (20), 204106. https://doi.org/10.1063/5.0047437
Jin, S., Li, L., Ye, X., & Zhou, Z. (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
Ye, X., & Zhou, Z. (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
Ye, X., & Zhou, Z. (2023).
Exact Calculation of Quantum Thermal Average from Continuous Loop Path Integral Molecular Dynamics. arXiv preprint: 2307.06510. https://arxiv.org/abs/2307.06510
Ye, X., & Zhou, Z. (2023).
Quantitative Convergence Analysis of Path Integral Representations for Quantum Thermal Average. arXiv preprint: 2309.05188. https://arxiv.org/abs/2309.05188