{
  "id": "1907.09012",
  "version": "v1",
  "published": "2019-07-21T17:48:09.000Z",
  "updated": "2019-07-21T17:48:09.000Z",
  "title": "Infinite systems of interacting chains with memory of variable length beyond the Dobrushin condition",
  "authors": [
    "Ioannis Papageorgiou"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We study conditions that allow infinite systems of interacting chains with memory of variable length to go beyond the usual Dobrushin condition. Then, we derive an analytical characterization of the invariant state based on Replica Mean Field limits. As a result we extend the Galves-L\\\"ocherbach model beyond the restrictive Dobrushin condition of the model.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-07-21T17:48:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "60G99"
    ],
    "keywords": [
      "infinite systems",
      "interacting chains",
      "variable length",
      "replica mean field limits",
      "usual dobrushin condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}