{
  "id": "1403.5822",
  "version": "v3",
  "published": "2014-03-24T00:33:19.000Z",
  "updated": "2014-12-11T09:22:29.000Z",
  "title": "A generalization of carries process and riffle shuffles",
  "authors": [
    "Fumihiko Nakano",
    "Taizo Sadahiro"
  ],
  "comment": "Relation to the riffle shuffle for negative base case is added",
  "categories": [
    "math.PR"
  ],
  "abstract": "As a continuation to our previous work, we consider a generalization of carries process. Our results are : (i) right eigenvectors of the transition probability matrix, (ii) correlation of carries between different steps, and (iii) generalized riffle shuffle having the same distribution as that of the generalized carries process.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-05-20T03:18:06.000Z",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2014-12-11T09:22:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "generalization",
      "transition probability matrix",
      "generalized carries process",
      "right eigenvectors",
      "generalized riffle shuffle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1403.5822N"
    }
  }
}