Jiyuan Zhang (张纪元)

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

Preprints

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

  2. Joon Lee, Pierre Mergny, Jiyuan Zhang. ___. Upcoming in 2025.

  3. Tom Claeys, Jiyuan Zhang. Biorthogonal ensembles of derivative type. Upcoming in 2025.

  4. 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 Annales de l’institut Henri Poincare (B) Probability and Statistics. 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. Journal of Multivariate Analysis, vol. 178, 2020, p. 104619.

  8. Forrester, P. J., and Jiyuan Zhang. Lyapunov Exponents for Some Isotropic Random Matrix Ensembles. Journal of Statistical Physics, 2020, pp. 1–18.

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

Works on other subjects