{
  "id": "1510.08602",
  "version": "v1",
  "published": "2015-10-29T08:51:11.000Z",
  "updated": "2015-10-29T08:51:11.000Z",
  "title": "The ergodic problem for some subelliptic operators with unbounded coefficients",
  "authors": [
    "Paola Mannucci",
    "Claudio Marchi",
    "Nicoletta Tchou"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We study existence and uniqueness of the invariant measure for a stochastic process with degenerate diffusion, whose infinitesimal generator is a linear subelliptic operator in the whole space R N with coefficients that may be unbounded. Such a measure together with a Liouville-type theorem will play a crucial role in the characterization of the ergodic constant defined through stationary problems with vanishing discount.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-29T08:51:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ergodic problem",
      "unbounded coefficients",
      "linear subelliptic operator",
      "degenerate diffusion",
      "stationary problems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151008602M"
    }
  }
}