{
  "id": "1903.07698",
  "version": "v1",
  "published": "2019-03-18T20:04:43.000Z",
  "updated": "2019-03-18T20:04:43.000Z",
  "title": "Universality classes of complex systems, information-theoretic measures of complexity and group entropies",
  "authors": [
    "Piergiulio Tempesta",
    "Henrik Jeldtoft Jensen"
  ],
  "comment": "14 pages. No figures",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We introduce a class of information measures based on group entropies, allowing us to describe the information-theoretical properties of complex systems. These entropic measures are nonadditive, and are mathematically deduced from a series of natural requirements. In particular, we introduce an extensivity postulate as a natural requirement for an information measure to be meaningful. The information measures proposed are suitably defined for describing universality classes of complex systems, each characterized by a specific phase space growth rate function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-18T20:04:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "complex systems",
      "group entropies",
      "universality classes",
      "information-theoretic measures",
      "information measure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}