A pseudo-Hermitian beta-Hermite family of matrices

作者：Marinello G^*; Pato M P

来源：Physica A: Statistical Mechanics and Its Applications , 2016, 444: 1049-1061.

DOI：10.1016/j.physa.2015.10.093

• Random matrix theory
• Pseudo-Hermitian
• beta ensembles

A family of pseudo-Hermitian random matrices is constructed whose eigenvalues are the same of the beta-Hermite ensemble of random matrix theory. It is shown that matrices of this family are unstable in such a way that small perturbations cause the eigenvalues to move into the complex plane in conjugate pairs.

• 出版日期2016-2-15