Jiyuan Zhang (张纪元)

Also see my ArXiv page, my Google Scholar and my reseachgate.

Preprints

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

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

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

Publications

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

  2. Mario Kieburg, Jiyuan Zhang. Stable distributions and domains of attraction for unitarily invariant Hermitian random matrix ensembles. Accepted by Ann. Inst. H. Poincaré Probab. Stat. arXiv:2110.14877.

  3. 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.

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

  5. 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.

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

  7. Forrester, Peter J., and Jiyuan Zhang. Parametrising Correlation Matrices. J. Multivar. Anal. vol. 178, 2020, p. 104619.

  8. Forrester, P. J., and Jiyuan Zhang. Lyapunov Exponents for Some Isotropic Random Matrix Ensembles. J. Stat. Phys. 2020, pp. 1–18.

  9. Forrester, P.J. and Zhang, J., 2018. Volumes and distributions for random unimodular complex and quaternion lattices. J. Number Theory 190, pp.1-39.

Proceedings and other works

  1. Mario Kieburg, Noriyoshi Sakuma, Jiyuan Zhang. 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.

  2. Mario Kieburg, Thomas Wolfs, Jiyuan Zhang. 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.

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