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Wencai Liu
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Cited by
Year
Universal hierarchical structure of quasiperiodic eigenfunctions
S Jitomirskaya, W Liu
Annals of Mathematics 187 (3), 721-776, 2018
922018
Arithmetic spectral transitions for the Maryland model
S Jitomirskaya, W Liu
Communications on Pure and Applied Mathematics 70 (6), 1025-1051, 2017
582017
Universal reflective-hierarchical structure of quasiperiodic eigenfunctions and sharp spectral transition in phase
S Jitomirskaya, W Liu
Journal of the European Mathematical Society 26 (8), 2797-2836, 2023
502023
Anderson localization for multi-frequency quasi-periodic operators on
S Jitomirskaya, W Liu, Y Shi
Geometric and Functional Analysis 30 (2), 457-481, 2020
392020
Irreducibility of the Fermi variety for discrete periodic Schrödinger operators and embedded eigenvalues
W Liu
Geometric and Functional Analysis 32 (1), 1-30, 2022
242022
Quantitative inductive estimates for Green’s functions of non-self-adjoint matrices
W Liu
Analysis & PDE 15 (8), 2061-2108, 2023
232023
Irreducibility of the Bloch variety for finite-range Schrödinger operators
J Fillman, W Liu, R Matos
Journal of Functional Analysis 283 (10), 109670, 2022
222022
Criteria for embedded eigenvalues for discrete Schrödinger operators
W Liu
International Mathematics Research Notices 2021 (20), 15803-15832, 2021
202021
Sharp spectral transition for eigenvalues embedded into the spectral bands of perturbed periodic operators
W Liu, DC Ong
Journal d'Analyse Mathématique 141 (2), 625-661, 2020
162020
Anderson localization for the almost Mathieu operator in the exponential regime
W Liu, X Yuan
Journal of Spectral Theory 5 (1), 89-112, 2015
162015
Spectral gaps of almost Mathieu operators in the exponential regime
W Liu, X Yuan
Journal of Fractal Geometry 2 (1), 1-51, 2015
162015
Impacts of Yongding River on the Xishan karst aquifer and Yuquan spring in Beijing, China
D QIN, J SUN, Y GUO, L LI, H MUHAMMED, D WANG, W LIU
Journal of Engineering Geology 27 (1), 162-169, 2019
152019
Fermi isospectrality for discrete periodic Schrödinger operators
W Liu
Communications on Pure and Applied Mathematics 77 (2), 1126-1146, 2024
132024
Upper bounds on the spectral gaps of quasi-periodic Schrödinger operators with Liouville frequencies
W Liu, Y Shi
Journal of Spectral Theory 9 (4), 1223-1248, 2019
132019
Noncompact complete Riemannian manifolds with dense eigenvalues embedded in the essential spectrum of the Laplacian
S Jitomirskaya, W Liu
Geometric and Functional Analysis 29, 238-257, 2019
132019
Anderson localization for the completely resonant phases
W Liu, X Yuan
Journal of Functional Analysis 268 (3), 732-747, 2015
132015
Topics on Fermi varieties of discrete periodic Schrödinger operators
W Liu
Journal of Mathematical Physics 63 (2), 2022
122022
Criteria for eigenvalues embedded into the absolutely continuous spectrum of perturbed Stark type operators
W Liu
Journal of Functional Analysis 276 (9), 2936-2967, 2019
122019
Absence of singular continuous spectrum for perturbed discrete Schrödinger operators
W Liu
Journal of Mathematical Analysis and Applications 472 (2), 1420-1429, 2019
112019
Hölder continuity of the spectral measures for one-dimensional Schrödinger operator in exponential regime
W Liu, X Yuan
Journal of Mathematical Physics 56 (1), 2015
112015
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Articles 1–20