Stability of Spectral Types for Jacobi Matrices Under Decaying Random Perturbations
Jonathan Breuer, Yoram Last
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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