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Unique Continuation Principle for Spectral Projections of Schrödinger Operators and Optimal Wegner Estimates for Non-ergodic Random Schrödinger Operators

Communications in mathematical physics, 2013-11, Vol.323 (3), p.1229-1246

Klein, Abel

2013

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Slow Propagation of Information on the Random XXZ Quantum Spin Chain

Communications in mathematical physics, 2024-10, Vol.405 (10), Article 239

2024

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Bootstrap Multiscale Analysis and Localization¶in Random Media

Communications in mathematical physics, 2001-09, Vol.222 (2), p.415-448

2001

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Bounds on the density of states for Schrödinger operators

Inventiones mathematicae, 2013-10, Vol.194 (1), p.41-72

2013

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An eigensystem approach to Anderson localization

Journal of functional analysis, 2016-12, Vol.271 (12), p.3465-3512

2016

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On Mott's Formula for the ac-Conductivity in the Anderson Model

Annals of mathematics, 2007-09, Vol.166 (2), p.549-577

2007

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Eigensystem Multiscale Analysis for the Anderson Model via the Wegner Estimate

Annales Henri Poincaré, 2020-07, Vol.21 (7), p.2301-2326

2020

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Manifestations of Dynamical Localization in the Disordered XXZ Spin Chain

Communications in mathematical physics, 2018-08, Vol.361 (3), p.1083-1113

2018

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Many-body localization in the droplet spectrum of the random XXZ quantum spin chain

Journal of functional analysis, 2018-07, Vol.275 (1), p.211-258

2018

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A comprehensive proof of localization for continuous Anderson models with singular random potentials

Journal of the European Mathematical Society : JEMS, 2013-01, Vol.15 (1), p.53-143

2013

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Linear response theory for magnetic Schrödinger operators in disordered media

Journal of functional analysis, 2005-09, Vol.226 (2), p.301-372

2005

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Operator kernel estimates for functions of generalized Schrödinger operators

Proceedings of the American Mathematical Society, 2003-03, Vol.131 (3), p.911-920

2003

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Eigensystem multiscale analysis for Anderson localization in energy intervals

Journal of spectral theory, 2019-01, Vol.9 (2), p.711-765

2019

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On Bernoulli decompositions for random variables, concentration bounds, and spectral localization

Probability theory and related fields, 2009-01, Vol.143 (1-2), p.219-238

2009

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Absolutely continuous spectrum for random Schrödinger operators on the Bethe strip

Mathematische Nachrichten, 2012-01, Vol.285 (1), p.5-26

2012

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Quantitative unique continuation principle for Schrödinger operators with singular potentials

Proceedings of the American Mathematical Society, 2016-02, Vol.144 (2), p.665-679

2016

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The Bootstrap Multiscale Analysis for the Multi-particle Anderson Model

Journal of statistical physics, 2013-06, Vol.151 (5), p.938-973

2013

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Ground state energy of trimmed discrete Schrödinger operators and localization for trimmed Anderson models

Journal of spectral theory, 2014, Vol.4 (2), p.391-413

2014

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Localization of Classical Waves II: Electromagnetic Waves

Communications in mathematical physics, 1997-04, Vol.184 (2), p.411-441

1997

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Generalized Eigenvalue-Counting Estimates for the Anderson Model

Journal of statistical physics, 2009-04, Vol.135 (2), p.201-216

2009

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Extended States in the Anderson Model on the Bethe Lattice

Advances in mathematics (New York. 1965), 1998-01, Vol.133 (1), p.163-184

Klein, Abel

1998

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Sub-exponential decay of operator kernels for functions of generalized Schrödinger operators

Proceedings of the American Mathematical Society, 2004-09, Vol.132 (9), p.2703-2712

2004

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The Liouville equation for singular ergodic magnetic Schroedinger operators

Journal of mathematical physics, 2010-03, Vol.51 (3)

2010

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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, 2018-11, Vol.2018 (21), p.6673-6697

2018

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Characterization of the Metal–Insulator Transport Transition for the Two-Particle Anderson Model

Annales Henri Poincaré, 2017-07, Vol.18 (7), p.2327-2365

2017

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Unique Continuation Principle for Spectral Projections of Schrödinger Operators and Optimal Wegner Estimates for Non-ergodic Random Schrödinger Operators

Slow Propagation of Information on the Random XXZ Quantum Spin Chain

Bootstrap Multiscale Analysis and Localization¶in Random Media

Bounds on the density of states for Schrödinger operators

An eigensystem approach to Anderson localization

On Mott's Formula for the ac-Conductivity in the Anderson Model

Eigensystem Multiscale Analysis for the Anderson Model via the Wegner Estimate

Manifestations of Dynamical Localization in the Disordered XXZ Spin Chain

Many-body localization in the droplet spectrum of the random XXZ quantum spin chain

A comprehensive proof of localization for continuous Anderson models with singular random potentials

Linear response theory for magnetic Schrödinger operators in disordered media

Operator kernel estimates for functions of generalized Schrödinger operators

Eigensystem multiscale analysis for Anderson localization in energy intervals

On Bernoulli decompositions for random variables, concentration bounds, and spectral localization

Absolutely continuous spectrum for random Schrödinger operators on the Bethe strip

Quantitative unique continuation principle for Schrödinger operators with singular potentials

The Bootstrap Multiscale Analysis for the Multi-particle Anderson Model

Ground state energy of trimmed discrete Schrödinger operators and localization for trimmed Anderson models

Localization of Classical Waves II: Electromagnetic Waves

Generalized Eigenvalue-Counting Estimates for the Anderson Model

Extended States in the Anderson Model on the Bethe Lattice

Sub-exponential decay of operator kernels for functions of generalized Schrödinger operators

The Liouville equation for singular ergodic magnetic Schroedinger operators

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}}

Characterization of the Metal–Insulator Transport Transition for the Two-Particle Anderson Model

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