{
  "id": "cond-mat/0106365",
  "version": "v1",
  "published": "2001-06-19T05:56:21.000Z",
  "updated": "2001-06-19T05:56:21.000Z",
  "title": "Persistence in a Stationary Time-series",
  "authors": [
    "Satya N. Majumdar",
    "Deepak Dhar"
  ],
  "comment": "8 pages revtex",
  "journal": "Phys. Rev. E 64, 046123 (2001)",
  "doi": "10.1103/PhysRevE.64.046123",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We study the persistence in a class of continuous stochastic processes that are stationary only under integer shifts of time. We show that under certain conditions, the persistence of such a continuous process reduces to the persistence of a corresponding discrete sequence obtained from the measurement of the process only at integer times. We then construct a specific sequence for which the persistence can be computed even though the sequence is non-Markovian. We show that this may be considered as a limiting case of persistence in the diffusion process on a hierarchical lattice.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-06-19T05:56:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "persistence",
      "stationary time-series",
      "integer times",
      "continuous stochastic processes",
      "integer shifts"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}