Below is the ascii version of the abstract for 07-17.
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Jonathan Breuer, Yoram Last
Stability of spectral types for Jacobi matrices under decaying random perturbations
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.