{
  "id": "2409.12888",
  "version": "v1",
  "published": "2024-09-19T16:30:01.000Z",
  "updated": "2024-09-19T16:30:01.000Z",
  "title": "q--exchangeable Measures and Transformations in Interacting Particle Systems",
  "authors": [
    "Jeffrey Kuan"
  ],
  "comment": "Comments are welcome! Accessibility statement: a WCAG 2.1AA compliant version of this PDF will eventually be available at http://tailorswiftbot.godaddysites.com/september-2024-paper",
  "categories": [
    "math.PR"
  ],
  "abstract": "This paper provides unified calculations regarding certain measures and transformations in interacting particle systems. More specifically, we provide certain general conditions under which an interacting particle system will have a reversible measure, gauge transformation, or ground state transformation. Additionally, we provide a method to prove that these conditions hold. This method uses certain quantum groups, and in that context the general conditions specialize to a \\(q\\)--exchangeable property.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-09-19T16:30:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "interacting particle system",
      "q-exchangeable measures",
      "general conditions",
      "ground state transformation",
      "gauge transformation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}