{
  "id": "1205.5763",
  "version": "v1",
  "published": "2012-05-25T17:34:29.000Z",
  "updated": "2012-05-25T17:34:29.000Z",
  "title": "From fixed-energy MSA to dynamical localization: A continuing quest for elementary proofs",
  "authors": [
    "Victor Chulaevsky"
  ],
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We review several techniques and ideas initiated by a remarkable work by Spencer [26], used and further developed in numerous subsequent researches. We also describe a relatively short and elementary derivation of the spectral and strong dynamical Anderson localization from the fixed-energy analysis of the Green functions, obtained either by the Multi-Scale Analysis (MSA) or by the Fractional-Moment Method (FMM). This derivation goes in the same direction as the Simon--Wolf criterion [28], but provides quantitative estimates, applies also to multi-particle models and, combined with a simplified variant of the Germinet--Klein argument [20], results in an elementary proof of dynamical localization.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-05-25T17:34:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "elementary proof",
      "dynamical localization",
      "fixed-energy msa",
      "continuing quest",
      "strong dynamical anderson localization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1205.5763C"
    }
  }
}