{
  "id": "2108.07334",
  "version": "v1",
  "published": "2021-08-16T20:26:37.000Z",
  "updated": "2021-08-16T20:26:37.000Z",
  "title": "A note on inverse results of random walks in Abelian groups",
  "authors": [
    "Jake Koenig",
    "Hoi H. Nguyen",
    "Amanda Pan"
  ],
  "categories": [
    "math.CO",
    "math.PR"
  ],
  "abstract": "In this short note we give various near optimal characterizations of random walks over finite Abelian groups with large maximum discrepancy from the uniform measure. We also provide several interesting connections to existing results in the literature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-08-16T20:26:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "random walks",
      "inverse results",
      "finite abelian groups",
      "large maximum discrepancy",
      "optimal characterizations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}