{
  "id": "2406.05441",
  "version": "v1",
  "published": "2024-06-08T11:13:00.000Z",
  "updated": "2024-06-08T11:13:00.000Z",
  "title": "Two identities for Poisson Point Processes and Voronoi Tessellations with Applications",
  "authors": [
    "Mohsen Amidzadeh"
  ],
  "categories": [
    "math.PR",
    "eess.SP"
  ],
  "abstract": "In this paper, we introduce two identities one pertaining to the state space of Poisson Point Processes (PPPs), and the other for the Voronoi tessellations formed by PPPs. Then, we explore several applications of these identities within the context of wireless cellular networks.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-06-08T11:13:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "poisson point processes",
      "voronoi tessellations",
      "identities",
      "applications",
      "state space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}