arXiv
Open Access
2007
Stability of Spectral Types for Jacobi Matrices Under Decaying Random Perturbations
Jonathan Breuer
Yoram Last
Abstrak
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.
Topik & Kata Kunci
Penulis (2)
J
Jonathan Breuer
Y
Yoram Last
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