Mathematics – Spectral Theory
Scientific paper
2007-01-10
Mathematics
Spectral Theory
Scientific paper
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.
Breuer Jonathan
Last Yoram
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