2 papers
cond-mat.stat-mech2000
Spectra, Pseudospectra, and Localization for Random Bidiagonal Matrices
Lloyd N. Trefethen, Marco Contedini, Mark Embree
There has been much recent interest, initiated by work of the physicists Hatano and Nelson, in the eigenvalues of certain random non-Hermitian periodic tridiagonal matrices and the…
cond-mat.stat-mech1999
Non-Hermitian tridiagonal random matrices and returns to the origin of a random walk
G. M. Cicuta, M. Contedini, L. Molinari
We study a class of tridiagonal matrix models, the "q-roots of unity" models, which includes the sign () and the clock () models by Feinberg and Zee. We find that th…