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math-ph2018★ 2 cited
Gelfand-Yaglom formula for functional determinants in higher dimensions
A. Ossipov
The Gelfand-Yaglom formula relates functional determinants of the one-dimensional second order differential operators to the solutions of the corresponding initial value problem. I…
math-ph2017★ 11 cited
Statistical properties of eigenvectors and eigenvalues of structured random matrices
Kevin Truong, Alexander Ossipov
We study the eigenvalues and the eigenvectors of structured random matrices of the form with diagonal matrices and and from the…
math-ph2015★ 6 cited
Statistics of eigenvectors in the deformed Gaussian unitary ensemble of random matrices
Kevin Truong, Alexander Ossipov
We study eigenvectors in the deformed Gaussian unitary ensemble of random matrices , where is a random matrix from Gaussian unitary ensemble and is a…