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Expansion of the spectrum in the weak disorder regime for random operators in continuum space
Publikationstyp
Journal Article
Publikationsdatum
2018-02
Sprache
English
Institut
TORE-URI
Enthalten in
Volume
20
Issue
1
Article Number
1750008
Citation
Communications in Contemporary Mathematics 1 (20): 1750008 (2018-02-01)
Publisher DOI
Scopus ID
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.