Universal hierarchical structure of quasiperiodic eigenfunctions S Jitomirskaya, W Liu
Annals of Mathematics 187 (3), 721-776, 2018
99 2018 Arithmetic spectral transitions for the Maryland model S Jitomirskaya, W Liu
Communications on Pure and Applied Mathematics 70 (6), 1025-1051, 2017
62 2017 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
54 2023 Anderson localization for multi-frequency quasi-periodic operators on S Jitomirskaya, W Liu, Y Shi
Geometric and Functional Analysis 30 (2), 457-481, 2020
43 2020 Irreducibility of the Fermi variety for discrete periodic Schrödinger operators and embedded eigenvalues W Liu
Geometric and Functional Analysis 32 (1), 1-30, 2022
29 2022 Quantitative inductive estimates for Green’s functions of non-self-adjoint matrices W Liu
Analysis & PDE 15 (8), 2061-2108, 2023
26 2023 Irreducibility of the Bloch variety for finite-range Schrödinger operators J Fillman, W Liu, R Matos
Journal of Functional Analysis 283 (10), 109670, 2022
26 2022 Criteria for embedded eigenvalues for discrete Schrödinger operators W Liu
International Mathematics Research Notices 2021 (20), 15803-15832, 2021
23 2021 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
18 2020 Anderson localization for the almost Mathieu operator in the exponential regime W Liu, X Yuan
Journal of Spectral Theory 5 (1), 89-112, 2015
18 2015 Spectral gaps of almost Mathieu operators in the exponential regime W Liu, X Yuan
Journal of Fractal Geometry 2 (1), 1-51, 2015
18 2015 Fermi isospectrality for discrete periodic Schrödinger operators W Liu
Communications on Pure and Applied Mathematics 77 (2), 1126-1146, 2024
16 2024 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
16 2019 Effect of Yufu river on chemical process of karst groundwater in Ji'nan, Shandong province B LI, D QIN, Y GUO, W LIU, M Haji, LIN Lin, Q GUAN
Journal of Engineering Geology 25 (1), 190-198, 2017
15 2017 Topics on Fermi varieties of discrete periodic Schrödinger operators W Liu
Journal of Mathematical Physics 63 (2), 2022
14 2022 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
14 2019 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
14 2019 Anderson localization for the completely resonant phases W Liu, X Yuan
Journal of Functional Analysis 268 (3), 732-747, 2015
14 2015 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
13 2019 Algebraic properties of the Fermi variety for periodic graph operators J Fillman, W Liu, R Matos
Journal of Functional Analysis 286 (4), 110286, 2024
11 2024 
svetlana jitomirskayaUV irvineuci.edu üzerinde doğrulanmış e-posta adresine sahip