Tatyana Shcherbina
Published 2019-05-20Version 1
The paper continues previous works which study the behavior of second correlation function of characteristic polynomials of the special case of $n\times n$ one-dimensional Gaussian Hermitian random band matrices, when the covariance of the elements is determined by the matrix $J=(-W^2\triangle+1)^{-1}$. Applying the transfer matrix approach, we study the case when the bandwidth $W$ is proportional to the threshold $\sqrt{n}$
Moments of Moments of the Characteristic Polynomials of Random Orthogonal and Symplectic Matrices
On the moments of characteristic polynomials
Moments of the logarithmic derivative of characteristic polynomials from $SO(N)$ and $USp(2N)$
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