Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4589789 | Journal of Functional Analysis | 2016 | 35 Pages |
Abstract
The spectrum of random ergodic Schrödinger-type operators is almost surely a deterministic subset of the real line. The random operator can be considered as a perturbation of a periodic one. As soon as the disorder is switched on via a global coupling constant, the spectrum expands. We estimate how much the spectrum expands at its bottom for operators on ℓ2(Zd)ℓ2(Zd).
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Denis Borisov, Francisco Hoecker-Escuti, Ivan Veselić,