Decorrelation Estimates for Random Discrete Schrödinger Operators in Dimension One and Applications to Spectral Statistics

Author:

Shirley Christopher

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference20 articles.

1. Kirsch, W.: An invitation to random Schrödinger operators. In: Random Schrödinger Operators, Panor. Synthèses, vol. 25, pp. 1–119. Soc. Math. France, Paris (2008). With an appendix by Frédéric Klopp

2. Kirsch, W., Martinelli, F.: On the spectrum of Schrödinger operators with a random potential. Commun. Math. Phys. 85(3), 329–350 (1982). http://projecteuclid.org/euclid.cmp/1103921481

3. Klopp, F., Nakamura, S.: A note on Anderson localization for the random hopping model. J. Math. Phys. 44(11), 4975–4980 (2003). doi: 10.1063/1.1616998

4. Germinet, F., Klopp, F.: Spectral statistics for random Schrödinger operators in the localized regime. ArXiv e-prints (2010)

5. Klopp, F.: Inverse tunneling estimates and applications to the study of spectral statistics of random operators on the real line. J. Reine Angew. Math. 690, 79–113 (2014). doi: 10.1515/crelle-2012-0026

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