{
  "id": "1701.02860",
  "version": "v1",
  "published": "2017-01-11T06:17:25.000Z",
  "updated": "2017-01-11T06:17:25.000Z",
  "title": "The bottom of the spectrum of time-changed processes and the maximum principle of Schrödinger operators",
  "authors": [
    "Masayoshi Takeda"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We give a necessary and sufficient condition for the maximum principle of Schr\\\"{o}dinger operators in terms of the bottom of the spectrum of time-changed processes. As a corollary, we obtain a sufficient condition for the Liouville property of Schr\\\"{o}dinger operators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-11T06:17:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "31C25",
      "31C05",
      "60J25"
    ],
    "keywords": [
      "maximum principle",
      "time-changed processes",
      "schrödinger operators",
      "sufficient condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}