Shnol’s theorem and the spectrum of long range operators R Han Proceedings of the American Mathematical Society 147 (7), 2887-2897, 2019 | 28 | 2019 |
Cantor spectrum of graphene in magnetic fields S Becker, R Han, S Jitomirskaya Inventiones mathematicae 218 (3), 979-1041, 2019 | 21 | 2019 |
Dry Ten Martini problem for the non-self-dual extended Harper’s model R Han Transactions of the American Mathematical Society 370 (1), 197-217, 2018 | 20 | 2018 |
Absence of point spectrum for the self-dual extended Harper’s model R Han International Mathematics Research Notices 2018 (9), 2801-2809, 2018 | 18 | 2018 |
Full measure reducibility and localization for quasiperiodic Jacobi operators: A topological criterion R Han, S Jitomirskaya Advances in Mathematics 319, 224-250, 2017 | 18 | 2017 |
Discrete Bethe–Sommerfeld conjecture R Han, S Jitomirskaya Communications in Mathematical Physics 361 (1), 205-216, 2018 | 17 | 2018 |
Large deviation estimates and Hölder regularity of the Lyapunov exponents for quasi-periodic Schrödinger cocycles R Han, S Zhang International Mathematics Research Notices 2022 (3), 1666-1713, 2022 | 13 | 2022 |
A higher-dimensional Bourgain–Dyatlov fractal uncertainty principle R Han, W Schlag Analysis & PDE 13 (3), 813-863, 2020 | 13 | 2020 |
Effective multi-scale approach to the Schrödinger cocycle over a skew-shift base R Han, M Lemm, W Schlag Ergodic Theory and Dynamical Systems 40 (10), 2788-2853, 2020 | 12 | 2020 |
Quantum dynamical bounds for ergodic potentials with underlying dynamics of zero topological entropy R Han, S Jitomirskaya Analysis & PDE 12 (4), 867-902, 2018 | 9 | 2018 |
Averages along the square integers lp-improving and sparse inequalities R Han, MT Lacey, F Yang Tunisian Journal of Mathematics 1 (1), 517, 2021 | 8* | 2021 |
Spectral dimension for β-almost periodic singular Jacobi operators and the extended Harper’s model R Han, F Yang, S Zhang Journal d'Analyse Mathématique 142 (2), 605-666, 2020 | 8 | 2020 |
Averages along the primes: improving and sparse bounds R Han, B Krause, MT Lacey, F Yang Concrete Operators 7 (1), 45-54, 2020 | 8 | 2020 |
Discrete Bethe-Sommerfeld conjecture for triangular, square, and hexagonal lattices J Fillman, R Han Journal d'Analyse Mathématique 142 (1), 271-321, 2020 | 7 | 2020 |
Weyl sums and the Lyapunov exponent for the skew-shift Schrödinger cocycle R Han, M Lemm, W Schlag Journal of Spectral Theory 10 (4), 1139-1172, 2020 | 6 | 2020 |
Improving estimates for discrete polynomial averages R Han, V Kovač, MT Lacey, J Madrid, F Yang Journal of Fourier Analysis and Applications 26 (3), 42, 2020 | 5 | 2020 |
Large coupling asymptotics for the Lyapunov exponent of quasi-periodic Schrödinger operators with analytic potentials R Han, CA Marx Annales Henri Poincaré 19 (1), 249-265, 2018 | 5 | 2018 |
Honeycomb structures in magnetic fields S Becker, R Han, S Jitomirskaya, M Zworski arXiv preprint arXiv:2008.06329, 2020 | 4 | 2020 |
Uniform localization is always uniform R Han Proceedings of the American Mathematical Society 144 (2), 609-612, 2016 | 4 | 2016 |
Anti-resonances and sharp analysis of Maryland localization for all parameters R Han, S Jitomirskaya, F Yang arXiv preprint arXiv:2205.04021, 2022 | 3 | 2022 |