{
  "id": "1304.3595",
  "version": "v1",
  "published": "2013-04-12T10:29:57.000Z",
  "updated": "2013-04-12T10:29:57.000Z",
  "title": "Intertwining relations for one-dimensional diffusions and application to functional inequalities",
  "authors": [
    "Michel Bonnefont",
    "Aldéric Joulin"
  ],
  "journal": "Potential Analysis (2014) 27 pages",
  "doi": "10.1007/s11118-014-9408-7",
  "categories": [
    "math.PR"
  ],
  "abstract": "Following the recent work [13] fulfilled in the discrete case, we pro- vide in this paper new intertwining relations for semigroups of one-dimensional diffusions. Various applications of these results are investigated, among them the famous variational formula of the spectral gap derived by Chen and Wang [15] together with a new criterion ensuring that the logarithmic Sobolev inequality holds. We complete this work by revisiting some classical examples, for which new estimates on the optimal constants are derived.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-04-12T10:29:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "one-dimensional diffusions",
      "intertwining relations",
      "functional inequalities",
      "application",
      "logarithmic sobolev inequality holds"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1304.3595B"
    }
  }
}