Spectral averaging techniques for Jacobi matrices

del Rio R, Martinez C, Schulz-Baldes H (2008)

Publication Type: Journal article

Publication year: 2008

Journal

Journal of Mathematical Physics American Institute of Physics (AIP)

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

Abstract

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.

Authors with CRIS profile

Hermann Schulz-Baldes Professur für Mathematik (Mathematische Physik)

Involved external institutions

National Autonomous University of Mexico / Universidad Nacional Autónoma de México (UNAM) MX Mexico (MX)

How to cite

APA:

del Rio, R., Martinez, C., & Schulz-Baldes, H. (2008). Spectral averaging techniques for Jacobi matrices. Journal of Mathematical Physics, 49, 023507-023520. https://dx.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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