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The rotation number for the Schrödinger operator with α-norm almost periodic measures.
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- Mathematische Zeitschrift, 2024, v. 307, n. 4, p. 1, doi. 10.1007/s00209-024-03558-w
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Stability of Spectral Types of Quasi-periodic Schrödinger Operators with Respect to Perturbations by Decaying Potentials.
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- Communications in Mathematical Physics, 2023, v. 403, n. 2, p. 1069, doi. 10.1007/s00220-023-04813-7
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The Schwartzman group of an affine transformation.
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- Journal of Spectral Theory, 2023, v. 13, n. 4, p. 1281, doi. 10.4171/JST/476
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Thin spectra and singular continuous spectral measures for limit‐periodic Jacobi matrices.
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- Mathematische Nachrichten, 2023, v. 296, n. 9, p. 4279, doi. 10.1002/mana.202100561
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The Almost Sure Essential Spectrum of the Doubling Map Model is Connected.
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- Communications in Mathematical Physics, 2023, v. 400, n. 2, p. 793, doi. 10.1007/s00220-022-04607-3
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Schrödinger operators with potentials generated by hyperbolic transformations: I—positivity of the Lyapunov exponent.
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- Inventiones Mathematicae, 2023, v. 231, n. 2, p. 851, doi. 10.1007/s00222-022-01157-2
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Johnson-Schwartzman gap labelling for ergodic Jacobi matrices.
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- Journal of Spectral Theory, 2023, v. 13, n. 1, p. 297, doi. 10.4171/JST/449
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Spectral characteristics of Schrödinger operators generated by product systems.
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- Journal of Spectral Theory, 2022, v. 12, n. 4, p. 1659, doi. 10.4171/JST/445
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Simon's OPUC Hausdorff dimension conjecture.
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- Mathematische Annalen, 2022, v. 384, n. 1/2, p. 1, doi. 10.1007/s00208-021-02283-7
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Must the Spectrum of a Random Schrödinger Operator Contain an Interval?
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- Communications in Mathematical Physics, 2022, v. 393, n. 3, p. 1583, doi. 10.1007/s00220-022-04395-w
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Zero measure spectrum for multi-frequency Schrödinger operators.
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- Journal of Spectral Theory, 2022, v. 12, n. 2, p. 573, doi. 10.4171/JST/411
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Localization for Anderson models on metric and discrete tree graphs.
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- Mathematische Annalen, 2020, v. 376, n. 3/4, p. 1337, doi. 10.1007/s00208-019-01912-6
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Homogeneity of the spectrum for quasi-periodic Schrödinger operators.
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- Journal of the European Mathematical Society (EMS Publishing), 2018, v. 20, n. 12, p. 3073, doi. 10.4171/JEMS/829
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Schrödinger operators with dynamically defined potentials.
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- Ergodic Theory & Dynamical Systems, 2017, v. 37, n. 6, p. 1681, doi. 10.1017/etds.2015.120
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The isospectral torus of quasi-periodic Schrödinger operators via periodic approximations.
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- Inventiones Mathematicae, 2017, v. 207, n. 2, p. 895, doi. 10.1007/s00222-016-0679-z
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The Fibonacci Hamiltonian.
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- Inventiones Mathematicae, 2016, v. 206, n. 3, p. 629, doi. 10.1007/s00222-016-0660-x
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CHARACTERIZATIONS OF UNIFORM HYPERBOLICITY AND SPECTRA OF CMV MATRICES.
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- Discrete & Continuous Dynamical Systems - Series S, 2016, v. 9, n. 4, p. 1009, doi. 10.3934/dcdss.2016039
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Uniform Hyperbolicity for Szegő Cocycles and Applications to Random CMV Matrices and the Ising Model.
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- IMRN: International Mathematics Research Notices, 2015, v. 2015, n. 16, p. 7110, doi. 10.1093/imrn/rnu158
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Almost Sure Frequency Independence of the Dimension of the Spectrum of Sturmian Hamiltonians.
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- Communications in Mathematical Physics, 2015, v. 337, n. 3, p. 1241, doi. 10.1007/s00220-015-2331-y
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Quantum Dynamics of Periodic and Limit-Periodic Jacobi and Block Jacobi Matrices with Applications to Some Quantum Many Body Problems.
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- Communications in Mathematical Physics, 2015, v. 337, n. 3, p. 1535, doi. 10.1007/s00220-015-2346-4
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Dynamics of unitary operators.
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- Journal of Fractal Geometry, 2014, v. 1, n. 4, p. 391, doi. 10.4171/JFG/12
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Singular Density of States Measure for Subshift and Quasi-Periodic Schrödinger Operators.
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- Communications in Mathematical Physics, 2014, v. 330, n. 2, p. 469, doi. 10.1007/s00220-014-1968-2
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Exactly Solvable Models and Bifurcations: the Case of the Cubic NLS with a δ or a δ′ Interaction in Dimension One.
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- Mathematical Modelling of Natural Phenomena, 2014, v. 9, n. 5, p. 1, doi. 10.1051/mmnp/20149501
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Lp-boundedness of Multilinear Pseudo-differential Operators on Zn and Tn.
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- Mathematical Modelling of Natural Phenomena, 2014, v. 9, n. 5, p. 17, doi. 10.1051/mmnp/20149502
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Spectral Theory of the Hermite Operator on Lp(Rn).
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- Mathematical Modelling of Natural Phenomena, 2014, v. 9, n. 5, p. 39, doi. 10.1051/mmnp/20149503
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The Infinite XXZ Quantum Spin Chain Revisited: Structure of Low Lying Spectral Bands and Gaps.
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- Mathematical Modelling of Natural Phenomena, 2014, v. 9, n. 5, p. 44, doi. 10.1051/mmnp/20149504
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Transformation of Narrowband Wavetrains of Surface Gravity Waves Passing over a Bottom Step.
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- Mathematical Modelling of Natural Phenomena, 2014, v. 9, n. 5, p. 73, doi. 10.1051/mmnp/20149505
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The Projection Method for Multidimensional Framelet and Wavelet Analysis.
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- Mathematical Modelling of Natural Phenomena, 2014, v. 9, n. 5, p. 83, doi. 10.1051/mmnp/20149506
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Symmetries and Conservation Laws of a Spectral Nonlinear Model for Atmospheric Baroclinic Jets.
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- Mathematical Modelling of Natural Phenomena, 2014, v. 9, n. 5, p. 111, doi. 10.1051/mmnp/20149507
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Spectral Analysis of the Efficiency of Vertical Mixing in the Deep Ocean due to Interaction of Tidal Currents with a Ridge Running down a Continental Slope.
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- Mathematical Modelling of Natural Phenomena, 2014, v. 9, n. 5, p. 119, doi. 10.1051/mmnp/20149508
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Reconstruction of Structured Quadratic Pencils from Eigenvalues on Ellipses and Parabolas.
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- Mathematical Modelling of Natural Phenomena, 2014, v. 9, n. 5, p. 138, doi. 10.1051/mmnp/20149509
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Theory of Dimension for Large Discrete Sets and Applications.
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- Mathematical Modelling of Natural Phenomena, 2014, v. 9, n. 5, p. 148, doi. 10.1051/mmnp/20149510
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Schrödinger Operators on a Half-Line with Inverse Square Potentials.
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- Mathematical Modelling of Natural Phenomena, 2014, v. 9, n. 5, p. 170, doi. 10.1051/mmnp/20149511
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Efficient Processing of Fluorescence Images Using Directional Multiscale Representations.
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- Mathematical Modelling of Natural Phenomena, 2014, v. 9, n. 5, p. 177, doi. 10.1051/mmnp/20149512
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Localization Operators for Ridgelet Transforms.
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- Mathematical Modelling of Natural Phenomena, 2014, v. 9, n. 5, p. 194, doi. 10.1051/mmnp/20149513
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Tridiagonal Substitution Hamiltonians.
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- Mathematical Modelling of Natural Phenomena, 2014, v. 9, n. 5, p. 204, doi. 10.1051/mmnp/20149514
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A Characterization of Compact SG Pseudo-differential Operators on L2(ℝn).
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- Mathematical Modelling of Natural Phenomena, 2014, v. 9, n. 5, p. 239, doi. 10.1051/mmnp/20149515
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Inverse Scattering Problem with Underdetermined Data.
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- Mathematical Modelling of Natural Phenomena, 2014, v. 9, n. 5, p. 244, doi. 10.1051/mmnp/20149516
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Calculation of Electromagnetic Wave Scattering by a Small Impedance Particle of an Arbitrary Shape.
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- Mathematical Modelling of Natural Phenomena, 2014, v. 9, n. 5, p. 254, doi. 10.1051/mmnp/20149517
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Spectral Properties of Random and Deterministic CMV Matrices.
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- Mathematical Modelling of Natural Phenomena, 2014, v. 9, n. 5, p. 270, doi. 10.1051/mmnp/20149518
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CMV Matrices with Super Exponentially Decaying Verblunsky Coefficients.
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- Mathematical Modelling of Natural Phenomena, 2014, v. 9, n. 5, p. 282, doi. 10.1051/mmnp/20149519
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A Kernel Representation of Dirac Structures for Infinite-dimensional Systems.
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- Mathematical Modelling of Natural Phenomena, 2014, v. 9, n. 5, p. 295, doi. 10.1051/mmnp/20149520
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On the inverse spectral problem for the quasi-periodic Schrödinger equation.
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- Publications Mathematiques, 2014, v. 119, n. 1, p. 217, doi. 10.1007/s10240-013-0058-x
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Hölder Continuity of the Integrated Density of States for the Fibonacci Hamiltonian.
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- Communications in Mathematical Physics, 2013, v. 323, n. 2, p. 497, doi. 10.1007/s00220-013-1753-7
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Orthogonal Polynomials on the Unit Circle with Fibonacci Verblunsky Coefficients, II. Applications.
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- Journal of Statistical Physics, 2013, v. 153, n. 2, p. 339, doi. 10.1007/s10955-013-0830-9
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Hölder Continuity of the Integrated Density of States for the Fibonacci Hamiltonian.
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- Communications in Mathematical Physics, 2013, v. 323, n. 2, p. 497, doi. 10.1007/s00220-013-1753-7
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Conserved Vectors for a Model of Nonlinear Atmospheric Flows Around The Rotating Spherical Surface.
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- Mathematical Modelling of Natural Phenomena, 2013, v. 8, n. 1, p. 1, doi. 10.1051/mmnp/20138101
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Properties of Discrete Framelet Transforms.
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- Mathematical Modelling of Natural Phenomena, 2013, v. 8, n. 1, p. 18, doi. 10.1051/mmnp/20138102
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Inequalities for Extreme Zeros of Some Classical Orthogonal and q-orthogonal Polynomials.
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- Mathematical Modelling of Natural Phenomena, 2013, v. 8, n. 1, p. 48, doi. 10.1051/mmnp/20138103
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3D Data Denoising Using Combined Sparse Dictionaries.
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- Mathematical Modelling of Natural Phenomena, 2013, v. 8, n. 1, p. 60, doi. 10.1051/mmnp/20138104
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