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We give a widely self-contained introduction to the mathematical theory of the Anderson model.
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M. Aizenman and S. Molchanov, Localization at large disorder and at extreme energies: an elementary derivation, Comm. Math. Phys. 157
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J. Bellissard, P. D. Hislop and G. Stolz, Correlation estimates in the Anderson model. J. Stat. Phys. 129
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V. Chulaevsky and Y. Suhov, Wegner bounds for a two-particle tight binding model, Comm. Math. Phys. 283
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1998
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M. Aizenman, J. Schenker, R. Friedrich and D. Hundertmark, Finite volume fractional moment criteria for Anderson localization, Comm. Math. Phys. 224
2001
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F. Germinet and A. Klein, Bootstrap multiscale analysis and localization in random media, Comm. Math. Phys. 222
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P. Stollmann, Caught by disorder: bound states in random media, Progress in Mathematical Physics 20
2001
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G. Stolz, Strategies in localization proofs for one-dimensional random Schrödinger operators, Proc. Indian Acad. Sci. (Math. Sci.) 112
2002
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J. Bourgain and C. Kenig, On localization in the continuous Anderson-Bernoulli model in higher dimension, Invent. Math. 161
2005
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P. D. Hislop, W. Kirsch and M. Krishna, Spectral and dynamical properties of random models with nonlocal and singular interactions. Math. Nachr. 278
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2009
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M. Aizenman and S. Warzel, Localization bounds for multiparticle systems, Comm. Math. Phys. 290
2009
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J. Bellissard, P. D. Hislop, A. Klein and G. Stolz, Random Schrödinger operators: universal localization, correlations and interactions, Report on a Workshop held at Banff International Research Station from April 19 to 24, 2009, available at www.birs.ca/workshops/2009/09w5116/report09w5116.pdf
2009
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V. Chulaevsky and Y. Suhov, Multi-particle Anderson localisation: induction on the number of particles, Math. Phys. Anal. Geom. 12
2009
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E. Hamza, A. Joye, G. Stolz, Dynamical localization for unitary Anderson models, Math. Phys. Anal. Geom. 12
2009
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J.-M. Combes, F. Germinet and A. Klein, Poisson Statistics for Eigenvalues of Continuum Random Schrödinger Operators, Anal. PDE 3
2010
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L. Erdos, Universality of Wigner Random Matrices: a Survey or Recent Results, Lectures held at the Arizona School of Analysis with Applications, March 15 to 19, 2010, available at http://www.mathphys.org/AZschool/material/AZ10-erdos.pdf
2010
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2010
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P. Müller and P. Stollmann, Percolation Hamiltonians, Preprint 2010, arXiv:1002.5000
2010
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