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Universal reflective-hierarchical structure of quasiperiodic eigenfunctions and sharp spectral transition in phase.
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- Journal of the European Mathematical Society (EMS Publishing), 2024, v. 26, n. 8, p. 2797, doi. 10.4171/JEMS/1325
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Stability of the Non-Critical Spectral Properties I: Arithmetic Absolute Continuity of the Integrated Density of States.
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- Communications in Mathematical Physics, 2023, v. 402, n. 1, p. 213, doi. 10.1007/s00220-023-04724-7
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Stability of the Non-Critical Spectral Properties I: Arithmetic Absolute Continuity of the Integrated Density of States.
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- Communications in Mathematical Physics, 2023, v. 401, n. 3, p. 213, doi. 10.1007/s00220-023-04724-7
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Spectral Theory of Schrödinger Operators over Circle Diffeomorphisms.
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- IMRN: International Mathematics Research Notices, 2022, v. 2022, n. 13, p. 9810, doi. 10.1093/imrn/rnaa362
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Quantitative continuity of singular continuous spectral measures and arithmetic criteria for quasiperiodic Schrödinger operators.
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- Journal of the European Mathematical Society (EMS Publishing), 2022, v. 24, n. 5, p. 1723, doi. 10.4171/JEMS/1139
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On the spectrum of critical almost Mathieu operators in the rational case.
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- Journal of Spectral Theory, 2022, v. 12, n. 1, p. 11, doi. 10.4171/JST/392
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Pure point spectrum for the Maryland model: a constructive proof.
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- Ergodic Theory & Dynamical Systems, 2021, v. 41, n. 1, p. 283, doi. 10.1017/etds.2019.50
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Cantor spectrum of graphene in magnetic fields.
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- Inventiones Mathematicae, 2019, v. 218, n. 3, p. 979, doi. 10.1007/s00222-019-00916-y
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Large Deviations of the Lyapunov Exponent and Localization for the 1D Anderson Model.
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- Communications in Mathematical Physics, 2019, v. 370, n. 1, p. 311, doi. 10.1007/s00220-019-03502-8
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All couplings localization for quasiperiodic operators with monotone potentials.
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- Journal of the European Mathematical Society (EMS Publishing), 2019, v. 21, n. 3, p. 777, doi. 10.4171/JEMS/850
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Discrete Bethe-Sommerfeld Conjecture.
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- Communications in Mathematical Physics, 2018, v. 361, n. 1, p. 205, doi. 10.1007/s00220-018-3141-9
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Second phase transition line.
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- Mathematische Annalen, 2018, v. 370, n. 1/2, p. 271, doi. 10.1007/s00208-017-1543-1
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- Article
Arithmetic Spectral Transitions for the Maryland Model.
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- Communications on Pure & Applied Mathematics, 2017, v. 70, n. 6, p. 1025, doi. 10.1002/cpa.21688
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- Article
Singular Continuous Spectrum for Singular Potentials.
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- Communications in Mathematical Physics, 2017, v. 351, n. 3, p. 1127, doi. 10.1007/s00220-016-2823-4
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A Lower Bound on the Lyapunov Exponent for the Generalized Harper's Model.
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- Journal of Statistical Physics, 2017, v. 166, n. 3/4, p. 609, doi. 10.1007/s10955-016-1543-7
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Dynamical Bounds for Quasiperiodic Schrödinger Operators with Rough Potentials.
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- IMRN: International Mathematics Research Notices, 2017, v. 2017, n. 1, p. 96, doi. 10.1093/imrn/rnw022
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- Article
Complex one-frequency cocycles.
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- Journal of the European Mathematical Society (EMS Publishing), 2014, v. 16, n. 9, p. 1915, doi. 10.4171/JEMS/479
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Continuity of the Measure of the Spectrum for Quasiperiodic Schrödinger Operators with Rough Potentials.
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- Communications in Mathematical Physics, 2014, v. 325, n. 2, p. 585, doi. 10.1007/s00220-013-1856-1
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Exponential Dynamical Localization for the Almost Mathieu Operator.
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- Communications in Mathematical Physics, 2013, v. 322, n. 3, p. 877, doi. 10.1007/s00220-013-1743-9
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Hölder Continuity of Absolutely Continuous Spectral Measures for One-Frequency Schrödinger Operators.
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- Communications in Mathematical Physics, 2011, v. 301, n. 2, p. 563, doi. 10.1007/s00220-010-1147-z
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Almost localization and almost reducibility.
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- Journal of the European Mathematical Society (EMS Publishing), 2010, v. 12, n. 1, p. 93, doi. 10.4171/jems/191
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Upper Bounds On Wavepacket Spreading For Random Jacobi Matrices.
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- Communications in Mathematical Physics, 2007, v. 273, n. 3, p. 601, doi. 10.1007/s00220-007-0252-0
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Strong Dynamical Localization for the Almost Mathieu Model.
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- Reviews in Mathematical Physics, 2001, v. 13, n. 6, p. 755, doi. 10.1142/S0129055X01000855
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