Decorrelation estimates for random Schrödinger operators with non rank one perturbations
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The article was published on 2021-02-11 and is currently open access. It has received 0 citations till now. The article focuses on the topics: Rank (linear algebra) & Compound Poisson distribution.read more
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New Characterizations of the Region of Complete Localization for Random Schrödinger Operators
François Germinet,Abel Klein +1 more
TL;DR: In this article, the authors studied the region of complete localization in a class of random operators which includes random Schrodinger operators with Anderson-type potentials and classical wave operators in random media, as well as the Anderson tight binding model.
Journal ArticleDOI
Simplicity of Eigenvalues in the Anderson Model
Abel Klein,Stanislav Molchanov +1 more
TL;DR: In this paper, the authors give a transparent and intuitive proof that all eigenvalues of the Anderson model in the region of localization are simple, and show that the same can be said for all the other eigenvectors of the model.
Journal ArticleDOI
Minami’s Estimate: Beyond Rank One Perturbation and Monotonicity
Martin Tautenhahn,Ivan Veselić +1 more
TL;DR: In this article, it was shown that Minami's estimate for a class of discrete alloy-type models with a sign-changing single-site potential of finite support is valid for random potentials which are in a certain sense sufficiently close to the standard Anderson potential (rank one perturbations coupled with random variables).
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Spectral statistics for the discrete Anderson model in the localized regime
François Germinet,Frédéric Klopp +1 more
TL;DR: In this article, the spectral statistics of the discrete Anderson model in the localized phase were investigated and it was shown that the limit of the level spacing distribution is that of i.i.d. random variables distributed according to the density of states of the random Hamiltonian.
Journal ArticleDOI
Eigenvalue statistics for random Schrodinger operators with non rank one perturbations
Peter D. Hislop,M. Krishna +1 more
TL;DR: For generalized lattice Anderson models with finite-rank perturbations, this paper showed that the Levy measure is supported on at most a finite set determined by the rank of the perturbation.
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