{
  "id": "math/0508403",
  "version": "v1",
  "published": "2005-08-22T06:35:05.000Z",
  "updated": "2005-08-22T06:35:05.000Z",
  "title": "Ramdom walks on hypergroup of circles in finite fields",
  "authors": [
    "Le Anh Vinh"
  ],
  "comment": "14 pages, to appear in Proceeding of Australasian Workshop of Combinatorics Algorithms",
  "categories": [
    "math.CO",
    "math.PR"
  ],
  "abstract": "In this paper we study random walks on the hypergroup of circles in a finite field of prime order p = 4l + 3. We investigating the behavior of random walks on this hypergroup, the equilibrium distribution and the mixing times. We use two different approaches - comparision of Dirichlet forms (geometric bound of eigenvalues), and coupling methods, to show that the mixing time of random walks on hypergroup of circles is only linear.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-08-22T06:35:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60D05",
      "11A99"
    ],
    "keywords": [
      "finite field",
      "ramdom walks",
      "hypergroup",
      "study random walks",
      "mixing time"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......8403V"
    }
  }
}