{
  "id": "2006.04743",
  "version": "v1",
  "published": "2020-06-08T16:46:17.000Z",
  "updated": "2020-06-08T16:46:17.000Z",
  "title": "Barycentric Brownian Bees",
  "authors": [
    "Louigi Addario-Berry",
    "Jessica Lin",
    "Thomas Tendron"
  ],
  "comment": "34 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We establish an invariance principle for the barycenter of a Brunet-Derrida particle system in $d$ dimensions. The model consists of $N$ particles undergoing dyadic branching Brownian motion with rate $1$. At a branching event, the number of particles is kept equal to $N$ by removing the particle located furthest away from the barycenter. To prove the invariance principle, a key step is to establish Harris recurrence for the process viewed from its barycenter.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-08T16:46:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "60J70",
      "60J65"
    ],
    "keywords": [
      "barycentric brownian bees",
      "invariance principle",
      "undergoing dyadic branching brownian motion",
      "particles undergoing dyadic branching brownian",
      "brunet-derrida particle system"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}