Denis Borisov, Francisco Hoecker-Escuti, Ivan Veselić: Expansion of the almost sure spectrum in a weak disorder regime

Author(s):

Denis Borisov
Francisco Hoecker-Escuti
Ivan Veselić

Title:

Denis Borisov, Francisco Hoecker-Escuti, Ivan Veselić: Expansion of the almost sure spectrum in a weak disorder regime

Electronic source:

application/pdf

Preprint series:

Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 13, 2014

Mathematics Subject Classification:

    60H25 []
    35J10 []

Abstract:

The spectrum of random ergodic Schr\"odinger-type operators is almost surely a deterministic subset of the real line. 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 in a discrete setting.

Keywords:

Language:

English

Publication time:

07/2014