{
  "id": "2501.14953",
  "version": "v1",
  "published": "2025-01-24T22:39:31.000Z",
  "updated": "2025-01-24T22:39:31.000Z",
  "title": "Partition Function Zeros of Paths and Normalization Zeros of ASEPS",
  "authors": [
    "Zdzislaw Burda",
    "Desmond A. Johnston"
  ],
  "categories": [
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We exploit the equivalence between the partition function of an adsorbing Dyck walk model and the Asymmetric Simple Exclusion Process (ASEP) normalization to obtain the thermodynamic limit of the locus of the ASEP normalization zeros from a conformal map. We discuss the equivalence between this approach and using an electrostatic analogy to determine the locus, both in the case of the ASEP and the random allocation model.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2025-01-24T22:39:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "partition function zeros",
      "asymmetric simple exclusion process",
      "adsorbing dyck walk model",
      "asep normalization zeros",
      "random allocation model"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}