{
  "id": "1812.06793",
  "version": "v1",
  "published": "2018-12-17T14:31:32.000Z",
  "updated": "2018-12-17T14:31:32.000Z",
  "title": "Transition densities of subordinators",
  "authors": [
    "Tomasz Grzywny",
    "Łukasz Leżaj",
    "Bartosz Trojan"
  ],
  "categories": [
    "math.PR",
    "math.AP"
  ],
  "abstract": "We prove existence and asymptotic behavior of the transition density for a large class of subordinators whose Laplace exponents satisfy lower scaling condition at infinity. Furthermore, we present lower and upper bounds for the density. Sharp estimates are provided if additional upper scaling condition on the Laplace exponent is imposed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-12-17T14:31:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "transition density",
      "subordinators",
      "exponents satisfy lower scaling condition",
      "laplace exponents satisfy lower scaling",
      "additional upper scaling condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}