{
  "id": "1209.0665",
  "version": "v1",
  "published": "2012-09-04T15:01:34.000Z",
  "updated": "2012-09-04T15:01:34.000Z",
  "title": "Some aspects of large time behavior of the heat kernel: an overview with perspectives",
  "authors": [
    "Yehuda Pinchover"
  ],
  "comment": "47 pages. Written for proceedings of the conference \"Mathematical Physics, Spectral Theory and Stochastic Analysis\" (Goslar, 2011)",
  "categories": [
    "math.AP",
    "math.SP"
  ],
  "abstract": "We discuss a variety of developments in the study of large time behavior of the positive minimal heat kernel of a time independent (not necessarily symmetric) second-order parabolic operator defined on a domain M in $R^d$, or more generally, on a noncompact Riemannian manifold M. Our attention is mainly focused on general results in general settings.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-09-04T15:01:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K08",
      "35B09",
      "47D07",
      "47D08"
    ],
    "keywords": [
      "large time behavior",
      "perspectives",
      "positive minimal heat kernel",
      "noncompact riemannian manifold",
      "general settings"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 47,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}