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
31 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
24 2018 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
12 2019 Long-time Anderson localization for the nonlinear Schrödinger equation revisited H Cong, Y Shi, Z Zhang
Journal of Statistical Physics 182, 1-22, 2021
9 2021 On the existence of Sobolev quasi-periodic solutions of multidimensional nonlinear beam equation Y Shi
Journal of Mathematical Physics 57 (10), 2016
8 2016 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
7 2021 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
7 2019 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
7 2019 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
5 * 2023 Analytic solutions of nonlinear elliptic equations on rectangular tori Y Shi
Journal of Differential Equations 267 (9), 5576-5600, 2019
5 2019 Quantitative Green's Function Estimates for Lattice Quasi-periodic Schr\" odinger Operators H Cao, Y Shi, Z Zhang
SCIENCE CHINA Mathematics (to appear), 2022
4 2022 On linear stability of KAM tori via the Craig-Wayne-Bourgain method X He, J Shi, Y Shi, X Yuan
SIAM J. Math. Anal. (to appear), 2020
4 2020 Spectral theory of the multi-frequency quasi-periodic operator with a Gevrey type perturbation Y Shi
Journal d’Analyse Mathématique 148, 305-338, 2019
4 2019 On the Drazin inverse of the linear combinations of two idempotents in a complex Banach algebra Y Shi, G Hou
Linear Algebra and its Applications 439 (11), 3532-3540, 2013
4 2013 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
3 2023 Diagonalization in a quantum kicked rotor model with non-analytic potential Y Shi, L Wen
Journal of Differential Equations 355, 334-368, 2023
2 2023 Absence of Eigenvalues of Analytic Quasi-Periodic Schrödinger Operators on R^d Y Shi
Communications in Mathematical Physics 386 (3), 1413-1436, 2021
2 2021 Localization for a class of discrete long-range quasi-periodic operators Y Shi, L Wen
Letters in Mathematical Physics 112 (5), 86, 2022
1 2022 On the spectrum of quasi-periodic Schr\"odinger operators on H Cao, Y Shi, Z Zhang
arXiv preprint arXiv:2310.07407, 2023
2023 Diophantine estimates on shifts of trigonometric polynomials on Y Shi, WM Wang
arXiv preprint arXiv:2309.12666, 2023
2023 