{
  "id": "2003.08108",
  "version": "v1",
  "published": "2020-03-18T09:16:05.000Z",
  "updated": "2020-03-18T09:16:05.000Z",
  "title": "Angular asymptotics for random walks",
  "authors": [
    "Alejandro López Hernández",
    "Andrew R. Wade"
  ],
  "comment": "23 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We study the set of directions asymptotically explored by a spatially homogeneous random walk in $d$-dimensional Euclidean space. We survey some pertinent results of Kesten and Erickson, make some further observations, and present some examples. We also explore links to the asymptotics of one-dimensional projections, and to the growth of the convex hull of the random walk.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-18T09:16:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G50",
      "60J05",
      "60F15"
    ],
    "keywords": [
      "angular asymptotics",
      "dimensional euclidean space",
      "spatially homogeneous random walk",
      "convex hull",
      "one-dimensional projections"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}