2 results
Now showing1 - 2 of 2
- Some of the metrics are blocked by yourconsent settings
Item type:Publication, Access status: without files , Expansion of the spectrum in the weak disorder regime for random operators in continuum space(2018-02); ; We study the spectrum of random ergodic Schrödinger-type operators in the weak disorder regime. We give upper and lower bounds on how much the spectrum expands at its bottom for very general perturbations. The background operator is assumed to be a periodic elliptic differential operator on R d, not necessarily of second order.Publicationtype: Journal Article179 - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Access status: without files , Expansion of the almost sure spectrum in the weak disorder regime(2016-03-01); ; 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).Publicationtype: Journal Article172