Inverse Tunneling Estimates and Applications to the Study of Spectral Statistics of Random Operators on the Real Line

@inproceedings{Klopp2012InverseTE,
  title={Inverse Tunneling Estimates and Applications to the Study of Spectral Statistics of Random Operators on the Real Line},
  author={Fr{\'e}d{\'e}ric Klopp},
  year={2012}
}
We present a proof of a Minami type estimate for one dimensional random Schrödinger operators valid at all energies in the localization regime provided a Wegner estimate is known to hold. The Minami type estimate is then applied to two models to obtain results on their spectral statistics. The heuristics underlying our proof of Minami type estimates is that close by eigenvalues of a one-dimensional Schrödinger operator correspond either to eigenfunctions that live far away from each other in… CONTINUE READING

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