An optimal Wegner estimate and its application to the global continuity of the integrated density of states for random Schrödinger operators

2006/05/09 by Combes, Jean-Michel, Peter D. Hislop, Frédéric Klopp +2 · 2 citations
Mathematics · #47B80 #81Q10 #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics #Stochastic processes and statistical mechanics

paper · doi:10.48550/arxiv.math-ph/0605029

openalex publication_date 2006/05/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the integrated density of states (IDS) of random Schrödinger operators with Anderson-type potentials on L² (\R^d), for d ≥1, is locally Hölder continuous at all energies with the same Hölder exponent 0

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