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 with -cosine type potentials 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 |