Spectral properties of discrete alloy-type models
Martin Tautenhahn, Ivan Veseli\'c
TL;DR
This paper reviews recent findings on the spectral characteristics of discrete alloy-type random Schrödinger operators, focusing on Wegner estimates and fractional moment bounds of the Green's function.
Contribution
It summarizes recent advances in understanding spectral properties, including Wegner estimates and Green's function bounds, for discrete alloy-type models.
Findings
Wegner estimates established for certain alloy-type models
Bounds on fractional moments of Green's function derived
Implications for localization and spectral analysis
Abstract
We discuss recent results on spectral properties of discrete alloy-type random Schr\"odinger operators. They concern Wegner estimates and bounds on the fractional moments of the Green's function.
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