{
  "id": "1909.09846",
  "version": "v1",
  "published": "2019-09-21T15:33:09.000Z",
  "updated": "2019-09-21T15:33:09.000Z",
  "title": "Time Series, Persistent Homology and Chirality",
  "authors": [
    "Yuliy Baryshnikov"
  ],
  "categories": [
    "math.PR",
    "math.AT",
    "math.ST",
    "stat.TH"
  ],
  "abstract": "We investigate the point process of persistent diagram for Brownian motions with drift, obtaining some of its basic characteristics. Further we introduce and study the refinement of the persistent homology, assigning to each bar its chirality.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-21T15:33:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "persistent homology",
      "time series",
      "persistent diagram",
      "point process",
      "brownian motions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}