{
  "id": "1505.04552",
  "version": "v1",
  "published": "2015-05-18T08:42:35.000Z",
  "updated": "2015-05-18T08:42:35.000Z",
  "title": "Log-Sobolev, isoperimetry and transport inequalities on graphs",
  "authors": [
    "Yutao Ma",
    "Ran Wang",
    "Liming Wu"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "In this paper, we study some functional inequalities (such as Poincar\\'e inequalities, logarithmic Sobolev inequalities, generalized Cheeger isoperimetric inequalities, transportation-information inequalities and transportation-entropy inequalities) for reversible nearest-neighbor Markov processes on a connected finite graph by means of (random) path method. We provide estimates of the involved constants.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-18T08:42:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60E15",
      "05C81",
      "39B72"
    ],
    "keywords": [
      "transport inequalities",
      "isoperimetry",
      "log-sobolev",
      "generalized cheeger isoperimetric inequalities",
      "logarithmic sobolev inequalities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150504552M"
    }
  }
}