5 papers
Zeros of some bi-orthogonal polynomials
M. L. Mehta
Ercolani and McLaughlin have recently shown that the zeros of the bi-orthogonal polynomials with the weight , relevant to a model of two coupl…
Moments of the characteristic polynomial in the three ensembles of random matrices
M. L. Mehta, J. -M. Normand
Moments of the characteristic polynomial of a random matrix taken from any of the three ensembles, orthogonal, unitary or symplectic, are given either as a determinant or a pfaffia…
Probability density of determinants of random matrices
Giovanni M. Cicuta, Madan L. Mehta
In this brief paper the probability density of a random real, complex and quaternion determinant is rederived using singular values. The behaviour of suitably rescaled random deter…
Matrices coupled in a chain. II. Spacing functions
G. Mahoux, M. L. Mehta, J. -M. Normand
For the eigenvalues of complex hermitian matrices coupled in a chain, we give a method of calculating the spacing functions. This is a generalization of the one mat…
Matrices coupled in a chain. I. Eigenvalue correlations
B. Eynard, M. L. Mehta
The general correlation function for the eigenvalues of complex hermitian matrices coupled in a chain is given as a single determinant. For this we use a slight generalization…