1 citations · 1 across the 1 of their papers we have counts for
3 papers
math-ph2003★ 1 cited
Thouless formula for random non-Hermitian Jacobi matrices
Ilya Ya Goldsheid, Boris A Khoruzhenko
Random non-Hermitian Jacobi matrices of increasing dimension are considered. We prove that the normalized eigenvalue counting measure of 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…
chao-dyn1998
Universality in the random matrix spectra in the regime of weak non-Hermiticity
Yan V. Fyodorov, Boris Khoruzhenko, H. -J. Sommers
This paper is a detailed account of the recent progress in understanding the statistical properties of complex eigenvalues of random non-Hermitian matrices reported earlier in our…