A pseudo-Hermitian β-Hermite family of matrices

G. Marinello and M.P. Pato

Physica A: Statistical Mechanics and its Applications, 2016, vol. 444, issue C, 1049-1061

Abstract: A family of pseudo-Hermitian random matrices is constructed whose eigenvalues are the same of the β-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.

Keywords: Random matrix theory; Pseudo-Hermitian; β ensembles (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:444:y:2016:i:c:p:1049-1061

DOI: 10.1016/j.physa.2015.10.093

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