Pseudo-Hermitian Random Matrices

Chapter 1 Introduction.- Chapter 2 The pseudo-Hermitian condition.- Chapter 3 Pseudo-Hermitian b-Hermite ensemble with real eigenvalues1.- Chapter 4 Pseudo-Hermitian ??-Hermite ensemble with an unbound metric2.- Chapter 5 Pseudo-Hermitian ??-Hermite ensemble with an unbound metric.- Chapter 6 Pseudo-Hermitian b-Laguerre ensemble with real eigenvalues3.- Chapter 7 Pseudo-Hermitian b-Laguerre ensemble with unbound metric.- Chapter 8 Pseudo-Hermitian ??-Laguerre ensemble with non-positive metric.- Chapter 9 The pseudo-Hermitian ??-Jacobi ensemble4.- Chapter 10 Pseudo-Hermitian Gaussian matrices5.- Chapter 11 Pseudo-Hermitian anti-Hermitian Gaussian matrices6.- Chapter 12 Average characteristic polynomials7.- Chapter 13 Spectral properties of pseudo-Hermitian matrices8.- Chapter 14 Eigenvalues as quasi-particles.- Chapter 15 Entanglement of pseudo-Hermitian random states9.

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• Estocástica
• Probabilidade e Estatística
• Física Matemática
• Álgebra
• Cibernética e teoria dos sistemas
• Física atómica e molecular

Pseudo-Hermiticity;Beta-ensemble;Pseudo-Hermitian beta-ensemble;2 beta-Dyson index;Symmetry breaking;Eigenvector delocalization;Emission spectra;Absorption spectra;Beta-Laguerre ensemble;Wishart model