Anderson localization for multi-frequency quasi-periodic operators on Z^d S Jitomirskaya, W Liu, Y Shi
Geometric and Functional Analysis 30 (2), 457-481, 2020
44 2020 The stability of full dimensional KAM tori for nonlinear Schrödinger equation H Cong, J Liu, Y Shi, X Yuan
Journal of Differential Equations 264 (7), 4504-4563, 2018
33 2018 Localization for Almost-Periodic Operators with Power-law Long-range Hopping: A Nash-Moser Iteration Type Reducibility Approach Y Shi
Communications in Mathematical Physics 402 (2), 1765-1806, 2023
16 2023 Long-time Anderson localization for the nonlinear Schrödinger equation revisited H Cong, Y Shi, Z Zhang
Journal of Statistical Physics 182, 1-22, 2021
14 2021 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 A multi-scale analysis proof of the power-law localization for random operators on Z^d Y Shi
Journal of Differential Equations 297, 201-225, 2021
12 2021 Localization and Regularity of the Integrated Density of States for Schrödinger Operators on Z d with C 2-cosine Like Quasi-Periodic Potential H Cao, Y Shi, Z Zhang
Communications in Mathematical Physics 404 (1), 495-561, 2023
10 2023 Spectral theory of the multi-frequency quasi-periodic operator with a Gevrey type perturbation Y Shi
Journal d’Analyse Mathématique 148, 305-338, 2019
10 2019 Sharp Hölder continuity of the integrated density of states for extended Harper’s model with a Liouville frequency W Jian, Y Shi
Acta Mathematica Scientia 39 (5), 1240-1254, 2019
9 2019 On the existence of Sobolev quasi-periodic solutions of multidimensional nonlinear beam equation Y Shi
Journal of Mathematical Physics 57 (10), 2016
9 2016 On the Spectrum of Quasi-periodic Schrödinger Operators on H Cao, Y Shi, Z Zhang
Communications in Mathematical Physics 405 (8), 174, 2024
8 2024 Anderson localization for one-frequency quasi-periodic block operators with long-range interactions W Jian, Y Shi, X Yuan
Journal of Mathematical Physics 60 (6), 2019
8 2019 Diagonalization in a quantum kicked rotor model with non-analytic potential Y Shi, L Wen
Journal of Differential Equations 355, 334-368, 2023
7 2023 Quantitative Green's Function Estimates for Lattice Quasi-periodic Schr\" odinger Operators H Cao, Y Shi, Z Zhang
SCIENCE CHINA Mathematics 67 (5), 1011–1058, 2022
7 2022 Analytic solutions of nonlinear elliptic equations on rectangular tori Y Shi
Journal of Differential Equations 267 (9), 5576-5600, 2019
7 2019 Absence of Eigenvalues of Analytic Quasi-Periodic Schrödinger Operators on R^d Y Shi
Communications in Mathematical Physics 386 (3), 1413-1436, 2021
6 2021 On linear stability of KAM tori via the Craig-Wayne-Bourgain method X He, J Shi, Y Shi, X Yuan
SIAM J. Math. Anal. 56 (3), 3605–3645, 2020
5 2020 Localization for a class of discrete long-range quasi-periodic operators Y Shi, L Wen
Letters in Mathematical Physics 112 (5), 86, 2022
4 2022 Anderson localized states for the quasi-periodic nonlinear wave equation on Y Shi, WM Wang
arXiv preprint arXiv:2306.00513, 2023
1 2023 Localization for random coupled harmonic oscillators on H Cong, Y Shi, Z Zhang
arXiv preprint arXiv:2303.01077, 2023
2023