We extend our results in Hislop and Marx (Int Math Res Not, 2018. https://doi.org/10.1093/imrn/rny156) on the quantitative continuity properties, with respect to the single-site probability measure, of the density of states measure and the integrated density of states for random Schrödinger operators. For lattice models on Zd, with d⩾ 1 , we treat the case of non-compactly supported probability measures with finite first moments. For random Schrödinger operators on Rd, with d⩾ 1 , we prove results analogous to those in Hislop and Marx (2018) for compactly supported probability measures. The method of proof makes use of the Combes–Thomas estimate and the Helffer–Sjöstrand formula.
|Number of pages||32|
|Journal||Annales Henri Poincare|
|State||Published - Feb 1 2020|
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© 2019, Springer Nature Switzerland AG.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Nuclear and High Energy Physics
- Mathematical Physics