The Pseudo-Hermitian β-Jacobi Ensemble
摘要
It is shown how the Hermitian condition of the β-Jacobi ensemble can be removed in such a way that 2β Dyson index effect is observed. The clue to the construction of the pseudo-Hermitian Jacobi β-ensemble is the finding that, asymptotically, matrices of arbitrarily large size, diagonal and off-diagonal elements become independent.