{
  "id": "1710.02293",
  "version": "v1",
  "published": "2017-10-06T07:20:38.000Z",
  "updated": "2017-10-06T07:20:38.000Z",
  "title": "Random Schrödinger Operators on discrete structures",
  "authors": [
    "Constanza Rojas-Molina"
  ],
  "comment": "41 pages, diagrams and figures",
  "categories": [
    "math-ph",
    "math.MP",
    "math.SP"
  ],
  "abstract": "The Anderson model serves to study the absence of wave propagation in a medium in the presence of impurities, and is one of the most studied examples in the theory of quantum disordered systems. In these notes we give a review of the spectral and dynamical properties of the Anderson Model on discrete structures, like the $d$-dimensional square lattice and the Bethe lattice, and the methods used to prove localization. These notes are based on a course given at the CIMPA School \"Spectral Theory of Graphs and Manifolds\" in Kairouan, 2016.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-10-06T07:20:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82B44",
      "47B80",
      "60H25",
      "81Q10"
    ],
    "keywords": [
      "random schrödinger operators",
      "discrete structures",
      "anderson model serves",
      "dimensional square lattice",
      "spectral theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 41,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}