{
  "id": "2011.04756",
  "version": "v1",
  "published": "2020-11-09T20:59:25.000Z",
  "updated": "2020-11-09T20:59:25.000Z",
  "title": "Sharp Bounds for the Integrated Density of States of 1-d Anderson-Bernoulli Model",
  "authors": [
    "Daniel Sánchez-Mendoza"
  ],
  "comment": "11 pages",
  "categories": [
    "math-ph",
    "math.MP",
    "math.SP"
  ],
  "abstract": "In this article we give upper and lower bounds for the integrated density of states (IDS) of the 1-d discrete Anderson-Bernoulli model when the disorder is strong enough to separate the two spectral bands. These bounds are uniform on the disorder and hold on all the spectrum. They show the existence of a sequence of energies in which value of the IDS can be given explicitly and does not depend on the disorder parameter.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-11-09T20:59:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "integrated density",
      "sharp bounds",
      "discrete anderson-bernoulli model",
      "spectral bands",
      "lower bounds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}