{
  "id": "2312.07811",
  "version": "v1",
  "published": "2023-12-13T00:16:38.000Z",
  "updated": "2023-12-13T00:16:38.000Z",
  "title": "Asymptotic shape for subadditve processes on groups of polynomial growth",
  "authors": [
    "Cristian F. Coletti",
    "Lucas R. de Lima"
  ],
  "comment": "36 pages, 1 figure",
  "categories": [
    "math.PR",
    "math.GR"
  ],
  "abstract": "This investigation explores the asymptotic shape for subadditive processes on finitely generated groups with polynomial growth, commonly referred to as virtually nilpotent groups. By shedding light on the algebraic structures inherent in a specific class of subadditive processes, the study presents a generalization beyond the fundamental settings of previously explored models. The findings not only contribute to our understanding of mathematical structures but also have the potential to deepen insights into various mathematical phenomena. The article concludes by highlighting potential applications arising from the derived results, supported by illustrative examples.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-12-13T00:16:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52A22",
      "60F15",
      "60K35"
    ],
    "keywords": [
      "polynomial growth",
      "asymptotic shape",
      "subadditve processes",
      "subadditive processes",
      "algebraic structures inherent"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}