Ivan Veselić: Lipschitz-continuity of the integrated density of states for Gaussian random potentials

Author(s):

Ivan Veselić

Title:

Lipschitz-continuity of the integrated density of states for Gaussian random potentials

Electronic source:

application/pdf

Preprint series:

Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 15, 2010

Mathematics Subject Classification:

35J10	[ ]
60H25	[ ]
82B44	[]

Abstract:

The integrated density of states of a Schrödinger operator with random potential given by a homogeneous Gaussian field whose covariance function is continuous, compactly supported and has positive mean, is locally uniformly Lipschitz-continuous. This is proven using a Wegner estimate.

Keywords:

Language:

English

Publication time:

08/2010