{
  "id": "1909.01858",
  "version": "v1",
  "published": "2019-09-04T15:00:45.000Z",
  "updated": "2019-09-04T15:00:45.000Z",
  "title": "Anomalous scaling of dynamical large deviations of stationary Gaussian processes",
  "authors": [
    "Baruch Meerson"
  ],
  "comment": "6 pages, 3 figures",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "Employing the optimal fluctuation method (OFM), we study the large deviation function of long-time averages $(1/T)\\int_{-T/2}^{T/2} x^n(t) dt$, $n=1,2, \\dots$, of centered stationary Gaussian processes. These processes are correlated and, in general, non-Markovian. We show that the anomalous scaling with time of the large-deviation function, recently observed for $n>2$ for the particular case of the Ornstein-Uhlenbeck process, holds for a whole class of stationary Gaussian processes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-04T15:00:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dynamical large deviations",
      "anomalous scaling",
      "large deviation function",
      "optimal fluctuation method",
      "centered stationary gaussian processes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}