{
  "id": "1903.09547",
  "version": "v1",
  "published": "2019-03-22T15:13:27.000Z",
  "updated": "2019-03-22T15:13:27.000Z",
  "title": "Probability distributions with singularities",
  "authors": [
    "Federico Corberi",
    "Alessandro Sarracino"
  ],
  "comment": "13 pages, 8 figures, review paper for the Special Issue of Entropy \"Fluctuation Relations and Nonequilibrium Thermodynamics in Classical and Quantum Systems\"",
  "journal": "Entropy 2019, 21(3), 312",
  "doi": "10.3390/e21030312",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "In this paper we review some general properties of probability distributions which exibit a singular behavior. After introducing the matter with several examples based on various models of statistical mechanics, we discuss, with the help of such paradigms, the underlying mathematical mechanism producing the singularity and other topics such as the condensation of fluctuations, the relationships with ordinary phase-transitions, the giant response associated to anomalous fluctuations, and the interplay with Fluctuation Relations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-22T15:13:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "probability distributions",
      "singularity",
      "general properties",
      "singular behavior",
      "ordinary phase-transitions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}