Jiyuan Zhang (张纪元)

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

Preprints

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

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

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

Publications

  1. 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.

  2. Kieburg, Mario; Zhang, Jiyuan. 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.; Zhang, Jiyuan. Parametrising Correlation Matrices. J. Multivar. Anal. vol. 178, 2020, p. 104619.

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

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

Conference Proceedings and Other Works

  1. 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.

  2. 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.

  3. 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