{
  "id": "math/0504344",
  "version": "v1",
  "published": "2005-04-17T12:01:26.000Z",
  "updated": "2005-04-17T12:01:26.000Z",
  "title": "On Davies' conjecture and strong ratio limit properties for the heat kernel",
  "authors": [
    "Yehuda Pinchover"
  ],
  "comment": "11 pages",
  "categories": [
    "math.AP",
    "math.PR"
  ],
  "abstract": "We study strong ratio limit properties and the exact long time asymptotics of the heat kernel of a general second-order parabolic operator which is defined on a noncompact Riemannian manifold.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-04-17T12:01:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K10",
      "35B40",
      "58J35",
      "60J60"
    ],
    "keywords": [
      "heat kernel",
      "study strong ratio limit properties",
      "exact long time asymptotics",
      "general second-order parabolic operator",
      "conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......4344P"
    }
  }
}