副教授


  •  副教授

张纪元

发布时间：2026-09-04文章来源：华南理工大学数学学院浏览次数：1864


个人网站 (Personal website, en): jiyuanzhangmath [dot] github [dot] io


研究方向

  从事随机矩阵理论中，具有（正交、酉、辛等）群不变性的随机矩阵模型极限行为的研究。目前主要感兴趣的科学问题有：

  （1）具有群不变性的行列式点过程，在矩阵阶数趋向无穷时的极限行为；

  （2）Dyson指数的推广以及经典概率论、自由概率论、有限自由概率论之间的中介理论；

  （3）具有重尾分布的随机矩阵的渐近行为。


招生意向

访问学者：随机矩阵、正交多项式、自由概率论方向（长期有效；条件薪酬面议）

博士后：随机矩阵、正交多项式、自由概率论方向（长期有效；条件薪酬面议）

硕士：基础数学专业（长期有效；欢迎创新、强基、保研或考研机制）


联系方式

E-mail: jiyuanzhang [at] scut [dot] edu [dot] cn

办公室：华南理工大学五山校区4号楼4140


工作经历

2025年至今：华南理工大学，副教授

2022年至2025年：比利时荷语区鲁汶大学，博士后


教育背景

2018年至2022年：澳大利亚墨尔本大学，博士

2016年至2017年：澳大利亚墨尔本大学，硕士

2011年至2015年：中山大学，学士


科研项目

主持国家自然科学基金青年科学基金项目（C类）、广东省人才项目等


科研成果

Preprints

  • Claeys, Tom; Zhang, Jiyuan. Biorthogonal ensembles of derivative type. arXiv:2601.18427.

  • Zhang, Jiyuan. Matrix harmonic analysis at high temperature via the Dirichlet process. arxiv:2508.21349

  • Kieburg, Mario; Zhang, Jiyuan. A rate of convergence when generating stable invariant Hermitian random matrix ensembles. arXiv:2302.06968.


Publications

  • Kieburg, Mario; Zhang, Jiyuan. Stable distributions and domains of attraction for unitarily invariant Hermitian random matrix ensembles. Ann. Inst. H. Poincaré Probab. Statist. 62(2): 1416-1454 (2026).

  • Forrester, Peter J.; Kieburg, Mario; Li, Shi-Hao; Zhang, Jiyuan. Dip-ramp-plateau for Dyson Brownian motion from the identity on U(N). Prob. Math. Phys. 5 (2024) 321-355.

  • Kieburg, Mario; Li, Shi-Hao; Zhang, Jiyuan; Forrester, Peter J. Cyclic Pólya ensembles on the unitary matrices and their spectral statistics. Constr. Approx. 57 (2023), no.3, 1063–1108.

  • Kieburg, Mario; Zhang, Jiyuan. Derivative principles for invariant ensembles. Adv. Math. 413 (2023), Paper No. 108833, 52 pp.

  • Zhang, Jiyuan; Kieburg, Mario; Forrester, Peter J. Harmonic analysis for rank-1 randomised Horn problems. Lett. Math. Phys. 111 (2021), no.4, Paper No. 98, 27 pp.

  • Forrester, Peter J.; Zhang, Jiyuan. Corank-1 projections and the randomised Horn problem. Tunis. J. Math. 3 (2021), no. 1, 55–73.

  • Forrester, Peter J.; Zhang, Jiyuan. Parametrising Correlation Matrices. J. Multivar. Anal. vol. 178 (2020), p. 104619.

  • Forrester, Peter J.; Zhang, Jiyuan. Lyapunov Exponents for Some Isotropic Random Matrix Ensembles. J. Stat. Phys. (2020), pp. 1–18.

  • Forrester, Peter J.; Zhang, Jiyuan. Volumes and distributions for random unimodular complex and quaternion lattices. J. Number Theory 190 (2018), pp.1-39.


Conference Proceedings and Other Works

  • Kieburg, Mario; Sakuma, Noriyoshi; Zhang, Jiyuan. Connections between free probability, Pólya ensembles and finite free convolutions. Submitted to the MATRIX Annals as a conference preceeding for Log-gases in Caeli Australi: Recent Developments in and around Random Matrix Theory, MATRIX Institute, Creswick, Australia, Aug, 4-15, 2025.

  • Kieburg, Mario; Wolfs, Thomas; Zhang, Jiyuan. The Charlier ensemble as a discrete Pólya ensemble. Submitted to the MATRIX Annals as a conference preceeding for Log-gases in Caeli Australi: Recent Developments in and around Random Matrix Theory, MATRIX Institute, Creswick, Australia, Aug, 4-15, 2025.

  • Magyar, N.; Verniero, J.; Szabo, A.; Zhang, Jiyuan; Van Doorsselaere, T. Solar wind data analysis aided by synthetic modeling: A better understanding of plasma frame variations from temporal data. Astronomy & Astrophysics, 688 (2024) A74