Localization for the one-dimensional Anderson model via positivity and large deviations for the Lyapunov exponent V Bucaj, D Damanik, J Fillman, V Gerbuz, T VandenBoom, F Wang, ... Transactions of the American Mathematical Society 372 (5), 3619-3667, 2019 | 61 | 2019 |
One-Dimensional Ergodic Schrödinger Operators: I. General Theory D Damanik, J Fillman American Mathematical Society, 2022 | 44* | 2022 |
Characterizations of uniform hyperbolicity and spectra of CMV matrices D Damanik, J Fillman, M Lukic, W Yessen arXiv preprint arXiv:1409.6259, 2014 | 34 | 2014 |
Limit-periodic continuum Schrödinger operators with zero measure Cantor spectrum D Damanik, J Fillman, M Lukic Journal of Spectral Theory 7 (4), 1101-1118, 2017 | 27 | 2017 |
Spreading estimates for quantum walks on the integer lattice via power-law bounds on transfer matrices D Damanik, J Fillman, DC Ong Journal de Mathématiques Pures et Appliquées 105 (3), 293-341, 2016 | 26 | 2016 |
Dynamics of unitary operators D Damanik, J Fillman, R Vance Journal of Fractal Geometry 1 (4), 391-425, 2015 | 25 | 2015 |
Irreducibility of the Bloch variety for finite-range Schrödinger operators J Fillman, W Liu, R Matos Journal of Functional Analysis 283 (10), 109670, 2022 | 22 | 2022 |
Purely singular continuous spectrum for limit-periodic CMV operators with applications to quantum walks J Fillman, DC Ong Journal of Functional Analysis 272 (12), 5107-5143, 2017 | 22 | 2017 |
Spectra of discrete two-dimensional periodic Schrödinger operators with small potentials M Embree, J Fillman Journal of Spectral Theory 9 (3), 1063-1087, 2019 | 20 | 2019 |
Ballistic transport for limit-periodic Jacobi matrices with applications to quantum many-body problems J Fillman Communications in Mathematical Physics 350, 1275-1297, 2017 | 20 | 2017 |
Singular continuous Cantor spectrum for magnetic quantum walks C Cedzich, J Fillman, T Geib, AH Werner Letters in Mathematical Physics 110 (6), 1141-1158, 2020 | 19 | 2020 |
Continuum Schrödinger operators associated with aperiodic subshifts D Damanik, J Fillman, A Gorodetski Annales Henri Poincaré 15 (6), 1123-1144, 2014 | 19 | 2014 |
Spectral characteristics of the unitary critical almost-Mathieu operator J Fillman, DC Ong, Z Zhang Communications in Mathematical Physics 351 (2), 525-561, 2017 | 18 | 2017 |
Localization for Anderson models on metric and discrete tree graphs D Damanik, J Fillman, S Sukhtaiev Mathematische Annalen 376 (3), 1337-1393, 2020 | 17 | 2020 |
Multidimensional almost-periodic Schrödinger operators with Cantor spectrum D Damanik, J Fillman, A Gorodetski Annales Henri Poincaré 20 (4), 1393-1402, 2019 | 16 | 2019 |
Spectral homogeneity of limit-periodic Schrödinger operators J Fillman, M Lukic Journal of Spectral Theory 7 (2), 387-406, 2017 | 15 | 2017 |
Spectral approximation for quasiperiodic Jacobi operators C Puelz, M Embree, J Fillman Integral Equations and Operator Theory 82, 533-554, 2015 | 15 | 2015 |
Uniform hyperbolicity for Szegő cocycles and applications to random CMV matrices and the Ising model D Damanik, J Fillman, M Lukic, W Yessen International Mathematics Research Notices 2015 (16), 7110-7129, 2015 | 15 | 2015 |
Spectral properties of limit-periodic operators D Damanik, J Fillman Analysis and Geometry on Graphs and Manifolds, Eds. M. Keller, D. Lenz, R …, 2018 | 12 | 2018 |
Gap labelling for discrete one-dimensional ergodic Schrödinger operators D Damanik, J Fillman From Complex Analysis to Operator Theory: A Panorama: In Memory of Sergey …, 2023 | 11 | 2023 |