Spectral continuity for aperiodic quantum systems I. General theory S Beckus, J Bellissard, G De Nittis Journal of Functional Analysis 275 (11), 2917-2977, 2018 | 40 | 2018 |
Continuity of the spectrum of a field of self-adjoint operators S Beckus, J Bellissard Annales Henri Poincaré 17, 3425-3442, 2016 | 30 | 2016 |
Spectral approximation of aperiodic Schr\" odinger operators S Beckus arXiv preprint arXiv:1610.05894, 2016 | 21 | 2016 |
Spectrum of Lebesgue measure zero for Jacobi matrices of quasicrystals S Beckus, F Pogorzelski Mathematical Physics, Analysis and Geometry 16, 289-308, 2013 | 16 | 2013 |
Delone dynamical systems and spectral convergence S Beckus, F Pogorzelski Ergodic Theory and Dynamical Systems 40 (6), 1510-1544, 2020 | 14 | 2020 |
On the spectrum of operator families on discrete groups over minimal dynamical systems S Beckus, D Lenz, M Lindner, C Seifert Mathematische Zeitschrift 287, 993-1007, 2017 | 14 | 2017 |
Shnol-type theorem for the Agmon ground state S Beckus, Y Pinchover Journal of Spectral Theory 10 (2), 355-377, 2020 | 12 | 2020 |
Note on spectra of non-selfadjoint operators over dynamical systems S Beckus, D Lenz, M Lindner, C Seifert Proceedings of the Edinburgh Mathematical Society 61 (2), 371-386, 2018 | 12 | 2018 |
Hölder continuity of the spectra for aperiodic Hamiltonians S Beckus, J Bellissard, H Cornean Annales Henri Poincaré 20, 3603-3631, 2019 | 11 | 2019 |
Spectral continuity for aperiodic quantum systems: Applications of a folklore theorem S Beckus, J Bellissard, G De Nittis Journal of Mathematical Physics 61 (12), 2020 | 9 | 2020 |
Symbolic substitution systems beyond abelian groups S Beckus, T Hartnick, F Pogorzelski arXiv preprint arXiv:2109.15210, 2021 | 7 | 2021 |
Spectral continuity for aperiodic quantum systems II. Periodic approximations in 1D S Beckus, J Bellissard, G De Nittis arXiv preprint arXiv:1803.03099, 2018 | 7 | 2018 |
Linear repetitivity beyond abelian groups S Beckus, T Hartnick, F Pogorzelski arXiv preprint arXiv:2001.10725, 2020 | 6 | 2020 |
Spectral estimates of dynamically-defined and amenable operator families S Beckus, A Takase arXiv preprint arXiv:2110.05763, 2021 | 5 | 2021 |
The Dry Ten Martini Problem for Sturmian Hamiltonians R Band, S Beckus, R Loewy arXiv preprint arXiv:2402.16703, 2024 | 4 | 2024 |
Generalized eigenfunctions and eigenvalues: a unifying framework for Shnol-type theorems S Beckus, B Devyver Journal d'Analyse Mathématique, 1-39, 2022 | 3 | 2022 |
A review of a work by Raymond: Sturmian Hamiltonians with a large coupling constant--periodic approximations and gap labels R Band, S Beckus, B Biber, L Raymond, Y Thomas arXiv preprint arXiv:2409.10920, 2024 | 1 | 2024 |
Spectral Approximation for substitution systems R Band, S Beckus, F Pogorzelski, L Tenenbaum arXiv preprint arXiv:2408.09282, 2024 | 1 | 2024 |
Spectral regularity and defects for the Kohmoto model S Beckus, J Bellissard, Y Thomas arXiv preprint arXiv:2410.17722, 2024 | | 2024 |
MFO Report: The dry ten Martini problem for Sturmian dynamical systems R Band, S Beckus, R Loewy arXiv preprint arXiv:2309.04351, 2023 | | 2023 |