Abel Klein

Affiliations: 
Mathematics - Ph.D. University of California, Irvine, Irvine, CA 
Area:
Mathematics
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"Abel Klein"
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Publications

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Elgart A, Klein A. (2020) Eigensystem Multiscale Analysis for the Anderson Model via the Wegner Estimate Annales Henri Poincaré. 21: 2301-2326
Elgart A, Klein A, Stolz G. (2018) Droplet localization in the random XXZ model and its manifestations Journal of Physics A. 51
Elgart A, Klein A, Stolz G. (2018) Manifestations of Dynamical Localization in the Disordered XXZ Spin Chain Communications in Mathematical Physics. 361: 1083-1113
Dietlein A, Gebert M, Hislop PD, et al. (2017) A Bound on the Averaged Spectral Shift Function and a Lower Bound on the Density of States for Random Schrödinger Operators on ${\mathbb{R}}^{\boldsymbol{d}}$ International Mathematics Research Notices. 2018: 6673-6697
Elgart A, Klein A, Stolz G. (2017) Many-body localization in the droplet spectrum of the random XXZ quantum spin chain Journal of Functional Analysis. 275: 211-258
Klein A, Tsang CSS. (2016) Local behavior of solutions of the stationary Schr\" odinger equation with singular potentials and bounds on the density of states of Schrödinger operators Communications in Partial Differential Equations. 41: 1040-1055
Elgart A, Klein A. (2016) An eigensystem approach to Anderson localization Journal of Functional Analysis. 271: 3465-3512
Elgart A, Klein A. (2014) Ground state energy of trimmed discrete Schrödinger operators and localization for trimmed Anderson models Arxiv: Mathematical Physics. 4: 391-413
Combes J, Germinet F, Klein A. (2014) Erratum to “Poisson statistics for eigenvalues of continuum random Schrödinger operators” Analysis & Pde. 7: 1235-1236
Combes J, Germinet F, Klein A. (2014) Local Wegner and Lifshitz tails estimates for the density of states for continuous random Schrödinger operators Journal of Mathematical Physics. 55: 83523
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