{
  "id": "2405.11609",
  "version": "v1",
  "published": "2024-05-19T16:36:23.000Z",
  "updated": "2024-05-19T16:36:23.000Z",
  "title": "Extremal Process of Last Progeny Modified Branching Random Walks",
  "authors": [
    "Partha Pratim Ghosh",
    "Bastien Mallein"
  ],
  "comment": "20 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We consider a last progeny modified branching random walk, in which the position of each particle at the last generation $n$ is modified by an i.i.d. copy of a random variable $Y$. Depending on the asymptotic properties of the tail of $Y$, we describe the asymptotic behaviour of the extremal process of this model as $n \\to \\infty$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-05-19T16:36:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G55",
      "60G70",
      "60J80",
      "60G42",
      "60G50"
    ],
    "keywords": [
      "progeny modified branching random walk",
      "extremal process",
      "asymptotic properties",
      "asymptotic behaviour",
      "generation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}