On non-perturbative Anderson localization for C^αpotentials generated by shifts and skew-shifts
| dc.creator | Chan, Jackson | |
| dc.creator | Goldstein, Michael | |
| dc.creator | Schlag, Wilhelm | |
| dc.date | 2006-07-13 | |
| dc.date | 2006-07-28 | |
| dc.date.accessioned | 2026-07-07T07:18:17Z | |
| dc.date.available | 2026-07-07T07:18:17Z | |
| dc.description | In this paper we address the question of proving Anderson localization (AL) for the operator [H(x,ω)ψ](n) := - \vp(n+1) - \vp(n-1) + V\bigl(T^n_ωx\bigr)ψ(n), n\in\mathbb Z where T:\tor^2\to\tor^2 is either the shift or the skew-shift and V is only C^α(\tor^2) for some α>0. We show that under the assumption of positive Lyapunov exponents, (AL) takes place for a.e. frequency, phase, and energy. | |
| dc.description | 39 pages | |
| dc.identifier | https://arxiv.org/abs/math/0607302 | |
| dc.identifier | http://arxiv.org/abs/math/0607302 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/114248 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Mathematical Physics | |
| dc.subject | 82B44, 39A70, 47B39, 47N55, 81Q10 | |
| dc.title | On non-perturbative Anderson localization for C^αpotentials generated by shifts and skew-shifts | |
| dc.type | text |