{
  "id": "2211.11232",
  "version": "v1",
  "published": "2022-11-21T07:51:44.000Z",
  "updated": "2022-11-21T07:51:44.000Z",
  "title": "Polyharmonic Functions in the Quarter Plane (Extended Abstract)",
  "authors": [
    "Andreas Nessmann"
  ],
  "comment": "A full article is to appear shortly",
  "journal": "33rd International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2022); Leibniz International Proceedings in Informatics (LIPIcs) vol.225, 15:1-15:16",
  "doi": "10.4230/LIPIcs.AofA.2022.15",
  "categories": [
    "math.CO",
    "math.CA"
  ],
  "abstract": "In this article, a novel method to compute all discrete polyharmonic functions in the quarter plane for models with small steps, zero drift and a finite group is proposed. A similar method is then introduced for continuous polyharmonic functions, and convergence between the discrete and continuous cases is shown.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-11-21T07:51:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A15",
      "05A16",
      "60J10",
      "60J65",
      "G.2.1",
      "G.3"
    ],
    "keywords": [
      "quarter plane",
      "extended abstract",
      "discrete polyharmonic functions",
      "continuous polyharmonic functions",
      "novel method"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}