{
  "id": "1408.0538",
  "version": "v1",
  "published": "2014-08-03T20:23:26.000Z",
  "updated": "2014-08-03T20:23:26.000Z",
  "title": "On the Sum of the Non-Negative Lyapunov Exponents for Some Cocycles Related to the Anderson Model",
  "authors": [
    "Ilia Binder",
    "Michael Goldstein",
    "Mircea Voda"
  ],
  "categories": [
    "math-ph",
    "math.DS",
    "math.MP",
    "math.SP"
  ],
  "abstract": "We provide an explicit lower bound for the the sum of the non-negative Lyapunov exponents for some cocycles related to the Anderson model. In particular, for the Anderson model on a strip of width $ W $ the lower bound is proportional to $ W^{-\\epsilon} $, for any $ \\epsilon>0 $. This bound is consistent with the fact that the lowest non-negative Lyapunov exponent is conjectured to have a lower bound proportional to $ W^{-1} $.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-08-03T20:23:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82B44",
      "47B36",
      "81Q10"
    ],
    "keywords": [
      "anderson model",
      "explicit lower bound",
      "lower bound proportional",
      "lowest non-negative lyapunov exponent"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1408.0538B"
    }
  }
}