Stability of Spectral Types for Jacobi Matrices Under Decaying Random Perturbations

Jonathan Breuer; Yoram Last

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arXiv · math/0701279

Stability of Spectral Types for Jacobi Matrices Under Decaying Random Perturbations

Jonathan Breuer·Yoram Last

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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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Jonathan Breuer, Yoram Last. 2007-01-10. Stability of Spectral Types for Jacobi Matrices Under Decaying Random Perturbations. https://arxiv.org/abs/math/0701279

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