07-17 Jonathan Breuer, Yoram Last

Stability of spectral types for Jacobi matrices under decaying random perturbations (93K, AMS-LaTeX) Jan 16, 07

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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.

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