{
  "id": "1605.04484",
  "version": "v1",
  "published": "2016-05-15T01:23:14.000Z",
  "updated": "2016-05-15T01:23:14.000Z",
  "title": "Relative exchangeability with equivalence relations",
  "authors": [
    "Harry Crane",
    "Henry Towsner"
  ],
  "categories": [
    "math.LO",
    "math.PR"
  ],
  "abstract": "We describe an Aldous--Hoover-type characterization of random relational structures that are exchangeable relative to a fixed structure which may have various equivalence relations. Our main theorem gives the common generalization of the results on relative exchangeability due to Ackerman \\cite{Ackerman2015} and Crane and Towsner \\cite{CraneTowsner2015} and hierarchical exchangeability results due to Austin and Panchenko \\cite{AustinPanchenko2014}.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-15T01:23:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03C07",
      "03C98",
      "60G09"
    ],
    "keywords": [
      "equivalence relations",
      "relative exchangeability",
      "random relational structures",
      "aldous-hoover-type characterization",
      "hierarchical exchangeability results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}