Jonathan Breuer, Yoram Last
Stability of spectral types for Jacobi matrices under decaying random perturbations
(93K, AMS-LaTeX)

ABSTRACT.  We study stability of spectral types for semi-infinite self-adjoint tridiagonal matrices under random decaying perturbations. We 
show that absolutely continuous spectrum associated with bounded 
eigenfunctions is stable under Hilbert-Schmidt random perturbations. We also obtain some results for singular spectral types.