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

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