16 citations · 54 across the 14 of their papers we have counts for
14 papers
Error estimates of invariant-preserving difference schemes for the rotation-two-component Camassa--Holm system with small energy
Qifeng Zhang, Jiyuan Zhang, Zhimin Zhang
A rotation-two-component Camassa-Holm (R2CH) system was proposed recently to describe the motion of shallow water waves under the influence of gravity. This is a highly nonlinear a…
A rate of convergence when generating stable invariant Hermitian random matrix ensembles
Mario Kieburg, Jiyuan Zhang
Recently, we have classified Hermitian random matrix ensembles that are invariant under the conjugate action of the unitary group and stable with respect to matrix addition. Apart…
Study on dynamic model of multi-particle spring system
Xiao-Yun Wang, Jiyuan Zhang
Generally, multi-particle spring system is an important and widely used physical model. However, with the increase of the number of particles, the difficulty of solving the kinemat…
Exploration of trace anomaly contribution to proton mass based on light vector meson photoproduction
Chen Dong, Jiyuan Zhang, Jingxuan Bu +2
In the quantum chromodynamics, the mass source of the proton is decomposed into four parts by the energy momentum tensor : quark energy term, gluon energy term, quark mass term and…
Dip-ramp-plateau for Dyson Brownian motion from the identity on
Peter J. Forrester, Mario Kieburg, Shi-Hao Li +1
In a recent work the present authors have shown that the eigenvalue probability density function for Dyson Brownian motion from the identity on is an example of a newly iden…
Optimal convergence rate of the explicit Euler method for convection-diffusion equations II: high dimensional cases
Qifeng Zhang, Jiyuan Zhang, Zhi-zhong Sun
This is the second part of study on the optimal convergence rate of the explicit Euler discretization in time for the convection-diffusion equations [Appl. Math. Lett. \textbf{131}…
Stable distributions and domains of attraction for unitarily invariant Hermitian random matrix ensembles
Mario Kieburg, Jiyuan Zhang
We consider random matrix ensembles on the set of Hermitian matrices that are heavy tailed, in particular not all moments exist, and that are invariant under the conjugate action o…
Cyclic Pólya Ensembles on the Unitary Matrices and their Spectral Statistics
Mario Kieburg, Shi-Hao Li, Jiyuan Zhang +1
The framework of spherical transforms and Pólya ensembles is of utility in deriving structured analytic results for sums and products of random matrices in a unified way. In the pr…
Derivative principles for invariant ensembles
Mario Kieburg, Jiyuan Zhang
In the present work we show that the joint probability distribution of the eigenvalues can be expressed in terms of a differential operator acting on the distribution of some other…
Harmonic analysis for rank-1 Randomised Horn Problems
Jiyuan Zhang, Mario Kieburg, Peter J. Forrester
The randomised Horn problem, in both its additive and multiplicative version, has recently drawn increasing interest. Especially, closed analytical results have been found for the…
Co-rank 1 projections and the randomised Horn problem
Peter J. Forrester, Jiyuan Zhang
Let be a normalised standard complex Gaussian vector, and project an Hermitian matrix onto the hyperplane orthogonal to . In a recent…
Parametrising correlation matrices
P. J. Forrester, Jiyuan Zhang
Correlation matrices are the sub-class of positive definite real matrices with all entries on the diagonal equal to unity. Earlier work has exhibited a parametrisation of the corre…
Lyapunov exponents for some isotropic random matrix ensembles
P. J. Forrester, Jiyuan Zhang
A random matrix with rows distributed as a function of their length is said to be isotropic. When these distributions are Gaussian, beta type I, or beta type II, previous work has,…
Volumes and distributions for random unimodular complex and quaternion lattices
Peter J. Forrester, Jiyuan Zhang
Two themes associated with invariant measures on the matrix groups , with or , and their corresponding lattices…