{
  "id": "1812.05515",
  "version": "v1",
  "published": "2018-12-13T16:45:03.000Z",
  "updated": "2018-12-13T16:45:03.000Z",
  "title": "Population Processes with Immigration",
  "authors": [
    "Dan Han",
    "Stanislav Molchanov",
    "Joseph Whitmeyer"
  ],
  "doi": "10.1007/978-3-319-65313-6_16",
  "categories": [
    "math.PR"
  ],
  "abstract": "The paper contains the complete analysis of the Galton-Watson models with immigration, including the processes in the random environment, stationary or non-stationary ones. We also study the branching random walk on $Z^d$ with immigration and prove the existence of the limits for the first two correlation functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-12-13T16:45:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "population processes",
      "immigration",
      "correlation functions",
      "paper contains",
      "branching random walk"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}