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Stability of Spectral Types of Quasi-periodic Schrödinger Operators with Respect to Perturbations by Decaying Potentials

Communications in mathematical physics, 2023-10, Vol.403 (2), p.1069-1108

2023

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Exact Mobility Edges for 1D Quasiperiodic Models

Communications in mathematical physics, 2023-08, Vol.401 (3), p.2521-2567

2023

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Hölder Regularity of the Integrated Density of States for Quasi-periodic Long-range Operators on ℓ2(Zd)

Communications in mathematical physics, 2022, Vol.392 (2), p.347-376

2022

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Hölder Continuity of Lyapunov Exponent for a Family of Smooth Schrödinger Cocycles

Annales Henri Poincaré, 2024-02, Vol.25 (2), p.1399-1444

2024

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Response solutions for quasi-periodically forced harmonic oscillators

Transactions of the American Mathematical Society, 2017-06, Vol.369 (6), p.4251-4274

2017

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Large coupling asymptotics for the entropy of quasi-periodic operators

Science China. Mathematics, 2020-09, Vol.63 (9), p.1745-1756

2020

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A KAM theorem for hamiltonian partial differential equations in higher dimensional spaces

Communications in mathematical physics, 2006-03, Vol.262 (2), p.343-372

2006

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拟周期薛定谔算子谱理论的KAM方法

SCIENTIA SINICA Mathematica, 2024-03

You, Jiangong

2024

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Arithmetic version of Anderson localization via reducibility

Geometric and functional analysis, 2020-10, Vol.30 (5), p.1370-1401

2020

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KAM tori for higher dimensional beam equations with constant potentials

Nonlinearity, 2006-10, Vol.19 (10), p.2405-2423

2006

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Almost reducibility and non-perturbative reducibility of quasi-periodic linear systems

Inventiones mathematicae, 2012-10, Vol.190 (1), p.209-260

2012

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Reducibility of slow quasi-periodic linear systems

Proceedings of the American Mathematical Society, 2013-09, Vol.141 (9), p.3147-3155

2013

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Sharp phase transitions for the almost Mathieu operator

Duke mathematical journal, 2017-10, Vol.166 (14)

2017

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Global structure of spectra of periodic non-Hermitian Jacobi operators

Science China. Mathematics, 2024-07

2024

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The Set of Smooth Quasi-periodic Schrödinger Cocycles with Positive Lyapunov Exponent is Not Open

Communications in mathematical physics, 2018-09, Vol.362 (3), p.801-826

2018

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Embedding of Analytic Quasi-Periodic Cocycles into Analytic Quasi-Periodic Linear Systems and its Applications

Communications in mathematical physics, 2013-11, Vol.323 (3), p.975-1005

2013

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Persistence of Hyperbolic-type Degenerate Lower-dimensional Invariant Tori with Prescribed Frequencies in Hamiltonian Systems

Regular & chaotic dynamics, 2020-11, Vol.25 (6), p.616-650

2020

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One-Dimensional Quasiperiodic Mosaic Lattice with Exact Mobility Edges

Physical review letters, 2020-11, Vol.125 (19), p.1-196604, Article 196604

2020

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PERSISTENCE OF THE NON-TWIST TORUS IN NEARLY INTEGRABLE HAMILTONIAN SYSTEMS

Proceedings of the American Mathematical Society, 2010-07, Vol.138 (7), p.2385-2395

2010

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Non-self-adjoint quasi-periodic operators with complex spectrum

Journal of functional analysis, 2024-11, Vol.287 (10), p.110614, Article 110614

2024

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Examples of discontinuity of Lyapunov exponent in smooth quasiperiodic cocycles

Duke mathematical journal, 2013-10, Vol.162 (13), p.2363-2412

2013

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Boundedness of solutions for non-linear quasi-periodic differential equations with Liouvillean frequency

Journal of Differential Equations, 2016-07, Vol.261 (2), p.1068-1098

2016

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Exponential Dynamical Localization: Criterion and Applications

Annales scientifiques de l'École normale supérieure, 2023, Vol.56 (1), p.91-126

2023

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Hölder Regularity of the Integrated Density of States for Quasi-periodic Long-range Operators on $$\ell ^2({\mathbb {Z}}^d)

Communications in mathematical physics, 2022-06, Vol.392 (2), p.347-376

2022

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Sharp Hölder continuity of the Lyapunov exponent of finitely differentiable quasi-periodic cocycles

Mathematische Zeitschrift, 2019-04, Vol.291 (3-4), p.931-958

2019

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Stability of Spectral Types of Quasi-periodic Schrödinger Operators with Respect to Perturbations by Decaying Potentials

Exact Mobility Edges for 1D Quasiperiodic Models

Hölder Regularity of the Integrated Density of States for Quasi-periodic Long-range Operators on ℓ2(Zd)

Hölder Continuity of Lyapunov Exponent for a Family of Smooth Schrödinger Cocycles

Response solutions for quasi-periodically forced harmonic oscillators

Large coupling asymptotics for the entropy of quasi-periodic operators

A KAM theorem for hamiltonian partial differential equations in higher dimensional spaces

拟周期薛定谔算子谱理论的KAM方法

Arithmetic version of Anderson localization via reducibility

KAM tori for higher dimensional beam equations with constant potentials

Almost reducibility and non-perturbative reducibility of quasi-periodic linear systems

Reducibility of slow quasi-periodic linear systems

Sharp phase transitions for the almost Mathieu operator

Global structure of spectra of periodic non-Hermitian Jacobi operators

The Set of Smooth Quasi-periodic Schrödinger Cocycles with Positive Lyapunov Exponent is Not Open

Embedding of Analytic Quasi-Periodic Cocycles into Analytic Quasi-Periodic Linear Systems and its Applications

Persistence of Hyperbolic-type Degenerate Lower-dimensional Invariant Tori with Prescribed Frequencies in Hamiltonian Systems

One-Dimensional Quasiperiodic Mosaic Lattice with Exact Mobility Edges

PERSISTENCE OF THE NON-TWIST TORUS IN NEARLY INTEGRABLE HAMILTONIAN SYSTEMS

Non-self-adjoint quasi-periodic operators with complex spectrum

Examples of discontinuity of Lyapunov exponent in smooth quasiperiodic cocycles

Boundedness of solutions for non-linear quasi-periodic differential equations with Liouvillean frequency

Exponential Dynamical Localization: Criterion and Applications

Hölder Regularity of the Integrated Density of States for Quasi-periodic Long-range Operators on $$\ell ^2({\mathbb {Z}}^d)

Sharp Hölder continuity of the Lyapunov exponent of finitely differentiable quasi-periodic cocycles

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