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- W2079232280 abstract "We show absence of energy levels repulsion for the eigenvalues of random Schrodinger operators in the continuum. We prove that, in the localization region at the bottom of the spectrum, the properly rescaled eigenvalues of a continuum Anderson Hamiltonian are distributed as a Poisson point process with intensity measure given by the density of states. We also obtain simplicity of the eigenvalues. We derive a Minami estimate for continuum Anderson Hamiltonians. We also give a simple and transparent proof of Minami's estimate for the (discrete) Anderson model." @default.
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- W2079232280 date "2008-07-02" @default.
- W2079232280 modified "2023-09-27" @default.
- W2079232280 title "Poisson Statistics for Eigenvalues of Continuum Random Schrodinger Operators" @default.
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