Regularity of the integrated density of states in the continuous spectrum

M. Krishna ()
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M. Krishna: Ashoka University

Indian Journal of Pure and Applied Mathematics, 2024, vol. 55, issue 3, 957-965

Abstract: Abstract In this paper we show that spectral measures of the Laplacian on $$\ell ^2({\mathbb {Z}}^d)$$ ℓ 2 ( Z d ) are smooth in some regions of its spectrum, a result that extends to parts of the absolutely continuous spectrum of some random perturbations of it. The spectral measures considered are associated with dense sets of vectors.

Keywords: Anderson Model; Density of States; Regularity; Laplacian (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s13226-024-00640-1

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