Publisher DOI: | 10.1016/j.jfa.2015.12.018 | arXiv ID: | 1408.2113v2 | Title: | Expansion of the almost sure spectrum in the weak disorder regime | Language: | English | Authors: | Borisov, Denis Hoecker-Escuti, Francisco Veselic, Ivan |
Keywords: | Almost sure spectrum; Expansion of the spectrum; Weak disorder; Mathematical Physics; Mathematical Physics; Mathematics - Mathematical Physics | Issue Date: | 1-Mar-2016 | Source: | Journal of Functional Analysis 270 (5): 1684-1718 (2016-03-01) | Abstract (english): | 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). |
URI: | http://hdl.handle.net/11420/6199 | ISSN: | 0022-1236 | Journal: | Journal of functional analysis | Institute: | Mathematik E-10 | Document Type: | Article |
Appears in Collections: | Publications without fulltext |
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