Expansion of the spectrum in the weak disorder regime for random operators in continuum space

Borisov, Denis; Hoecker-Escuti, Francisco; Veselic, Ivan

Expansion of the spectrum in the weak disorder regime for random operators in continuum space

Basic Data Publication

Publikationstyp

Journal Article

Date Issued

2018-02

Sprache

English

Author(s)

Borisov, Denis

Hoecker-Escuti, Francisco

Veselic, Ivan

Institut

Mathematik E-10

TORE-URI

http://hdl.handle.net/11420/3178

Publisher Version

Journal

Communications in contemporary mathematics

Volume

20

Issue

1

Article Number

1750008

Citation

Communications in Contemporary Mathematics 1 (20): 1750008 (2018-02-01)

Publisher DOI

10.1142/S0219199717500080

Scopus ID

2-s2.0-85010868650

Abstract

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.