Continuity with respect to disorder of the integrated density of states

Peter D. Hislop, Frédéric Klopp, Jeffrey H. Schenker

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

We prove that the integrated density of states (IDS) associated to a random Schrödinger operator is locally uniformly Hölder continuous as a function of the disorder parameter λ. In particular, we obtain convergence of the IDS, as λ → 0, to the IDS for the unperturbed operator at all energies for which the IDS for the unperturbed operator is continuous in energy.

Original languageEnglish
Pages (from-to)893-904
Number of pages12
JournalIllinois Journal of Mathematics
Volume49
Issue number3
DOIs
StatePublished - 2005

Funding

FundersFunder number
Directorate for Mathematical and Physical Sciences0202656

    ASJC Scopus subject areas

    • General Mathematics

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