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

Show full item record

Page view(s)

141
Last Week
1
Last month
2
checked on Jul 5, 2022

SCOPUSTM   
Citations

2
Last Week
0
Last month
0
checked on Jun 30, 2022

Google ScholarTM

Check

Add Files to Item

Note about this record

Cite this record

Export

Items in TORE are protected by copyright, with all rights reserved, unless otherwise indicated.