Hölder equicontinuity of the integrated density of states at weak disorder
| dc.creator | Schenker, Jeffrey H | |
| dc.date | 2004-03-31 | |
| dc.date | 2004-08-16 | |
| dc.date.accessioned | 2026-07-07T04:31:04Z | |
| dc.date.available | 2026-07-07T04:31:04Z | |
| dc.description | Hölder continuity, $|N_λ(E)-N_λ(E')|\le C |E-E'|^α$, with a constant $C$ independent of the disorder strength $λ$ is proved for the integrated density of states $N_λ(E)$ associated to a discrete random operator $H = H_o + λV$ consisting of a translation invariant hopping matrix $H_o$ and i.i.d. single site potentials $V$ with an absolutely continuous distribution, under a regularity assumption for the hopping term. | |
| dc.description | 15 Pages, typos corrected, comments and ref. [1] added, theorems 3,4 combined | |
| dc.identifier | https://arxiv.org/abs/math-ph/0403063 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0403063 | |
| dc.identifier | Lett. Math. Phys. 70 (2004), 195-209. | |
| dc.identifier | doi:10.1007/s11005-004-3757-x | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/57688 | |
| dc.subject | Mathematical Physics | |
| dc.title | Hölder equicontinuity of the integrated density of states at weak disorder | |
| dc.type | text |