del Rio R, Martinez C, Schulz-Baldes H (2008)
Publication Type: Journal article
Publication year: 2008
Publisher: American Institute of Physics (AIP)
Book Volume: 49
Pages Range: 023507-023520
URI: http://de.arxiv.org/abs/0802.2913
DOI: 10.1063/1.2840910
Spectral averaging techniques for one-dimensional discrete Schrödinger 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. © 2008 American Institute of Physics.
APA:
del Rio, R., Martinez, C., & Schulz-Baldes, H. (2008). Spectral averaging techniques for Jacobi matrices. Journal of Mathematical Physics, 49, 023507-023520. https://doi.org/10.1063/1.2840910
MLA:
del Rio, Rafael, Carmen Martinez, and Hermann Schulz-Baldes. "Spectral averaging techniques for Jacobi matrices." Journal of Mathematical Physics 49 (2008): 023507-023520.
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