Abstract

Statistical properties of eigenvalues of an ensemble of pseudo-Hermitian Gaussian matrices.
SANTOS, Gabriel Marinello de Souza; PATO, Mauricio Porto.
Abstract: We investigate the statistical properties of eigenvalues of pseudo-Hermitian random matrices whose eigenvalues are real or complex conjugate. It is shown that when the spectrum splits into separated sets of real and complex conjugate eigenvalues, the real ones show characteristics of an intermediate incomplete spectrum, that is, of a so-called thinned ensemble. On the other hand, the complex ones show repulsion compatible with cubic-order repulsion of non-normal matrices for the real matrices, but higher order repulsion for the complex and quaternion matrices.
Physica Scripta
v. 94, n. 11, p. 115201-1-115201-9 - Ano: 2019
Fator de Impacto: 2,151
http://dx.doi.org/10.1088/1402-4896/ab2e99
    @article={002961406,author = {SANTOS, Gabriel Marinello de Souza; PATO, Mauricio Porto.},title={Statistical properties of eigenvalues of an ensemble of pseudo-Hermitian Gaussian matrices},journal={Physica Scripta},note={v. 94, n. 11, p. 115201-1-115201-9},year={2019}}

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