I. Goldsheid

most citedThouless formula for random non-Hermitian Jacobi matrices

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Thouless formula for random non-Hermitian Jacobi matrices

Ilya Ya Goldsheid, Boris A Khoruzhenko

Random non-Hermitian Jacobi matrices $J_{n}$ of increasing dimension $n$ are considered. We prove that the normalized eigenvalue counting measure of $J_{n}$ converges weakly to a limit…

math-ph2000

Eigenvalue curves of asymmetric tridiagonal random matrices

I. Ya. Goldsheid, B. A. Khoruzhenko

Random Schroedinger operators with imaginary vector potentials are studied in dimension one. These operators are non-Hermitian and their spectra lie in the complex plane. We consid…