{
  "id": "2409.10513",
  "version": "v1",
  "published": "2024-09-16T17:59:43.000Z",
  "updated": "2024-09-16T17:59:43.000Z",
  "title": "KPZ equation from ASEP plus general speed-change drift",
  "authors": [
    "Kevin Yang"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We derive the KPZ equation as a continuum limit of height functions in asymmetric simple exclusion processes with a hyperbolic-scale drift that depends on the local particle configuration. To our knowledge, it is a first such result for a general class of particle systems with neither duality nor explicit invariant measures. The new tools to handle the lack of an invariant measure are estimates for Kolmogorov equations that produce a more robust proof of the Kipnis-Varadhan inequality. These tools are not exclusive to KPZ.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-09-16T17:59:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "60H17"
    ],
    "keywords": [
      "asep plus general speed-change drift",
      "kpz equation",
      "asymmetric simple exclusion processes",
      "local particle configuration",
      "explicit invariant measures"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}