Spectral averaging techniques for Jacobi matrices

Details Spectral averaging techniques for Jacobi matrices Spectral averaging techniques for Jacobi matrices

2008-02-20

arxiv.org/abs/0802.2913v1

Physics

Mathematical Physics

Scientific paper

10.1063/1.2840910

Spectral averaging techniques for one-dimensional discrete Schroedinger operators are revisited and extended. In particular, simultaneous averaging over several parameters is discussed. Special focus is put on proving lower bounds on the density of the averaged spectral measures. These Wegner type estimates are used to analyze stability properties for the spectral types of Jacobi matrices under local perturbations.

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