{
  "id": "2006.09047",
  "version": "v1",
  "published": "2020-06-16T10:10:12.000Z",
  "updated": "2020-06-16T10:10:12.000Z",
  "title": "Random potentials for Markov processes",
  "authors": [
    "Yuri Kondratiev",
    "José L. da Silva"
  ],
  "comment": "12 pages. arXiv admin note: text overlap with arXiv:2006.07514",
  "categories": [
    "math.PR",
    "math.FA"
  ],
  "abstract": "The paper is devoted to the integral functionals $\\int_0^\\infty f(X_t)\\,{\\mathrm{d}t}$ of Markov processes in $\\X$ in the case $d\\ge 3$. It is established that such functionals can be presented as the integrals $\\int_{\\X} f(y) \\G(x, \\mathrm{d}y, \\omega)$ with vector valued random measure $\\G(x, \\mathrm{d}y, \\omega)$. Some examples such as compound Poisson processes, Brownian motion and diffusions are considered.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-16T10:10:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47D07",
      "37P30",
      "60G22",
      "47A30"
    ],
    "keywords": [
      "markov processes",
      "random potentials",
      "vector valued random measure",
      "compound poisson processes",
      "brownian motion"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}