{
  "id": "0709.4661",
  "version": "v1",
  "published": "2007-09-28T17:49:12.000Z",
  "updated": "2007-09-28T17:49:12.000Z",
  "title": "Nonextensive statistical mechanics and central limit theorems II - Convolution of q-independent random variables",
  "authors": [
    "Silvio M. Duarte Queiros",
    "Constantino Tsallis"
  ],
  "comment": "14 pages, 4 figures, and 1 table. To appear in the Proceedings of the conference CTNEXT07, Complexity, Metastability and Nonextensivity, Catania, Italy, 1-5 July 2007, Eds. S. Abe, H.J. Herrmann, P. Quarati, A. Rapisarda and C. Tsallis (American Institute of Physics, 2008) in press",
  "journal": "AIP Conf. Proc. 965, 21 (2007)",
  "doi": "10.1063/1.2828736",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "In this article we review recent generalisations of the central limit theorem for the sum of specially correlated (or q-independent) variables, focusing on q greater or equal than 1. Specifically, this kind of correlation turns the probability density function known as q-Gaussian, which emerges upon maximisation of the entropy Sq, into an attractor in probability space. Moreover, we also discuss a q-generalisation of a-stable Levy distributions which can as well be stable for this special kind of correlation.Within this context, we verify the emergence of a triplet of entropic indices which relate the form of the attractor, the correlation, and the scaling rate, similar to the q-triplet that connects the entropic indices characterising the sensitivity to initial conditions, the stationary state, and relaxation to the stationary state in anomalous systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-09-28T17:49:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.30.-d",
      "02.30.-f",
      "02.50.Cw"
    ],
    "keywords": [
      "central limit theorem",
      "q-independent random variables",
      "nonextensive statistical mechanics",
      "convolution",
      "entropic indices"
    ],
    "tags": [
      "conference paper",
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "AIP Conf. Proc."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007AIPC..965...21D"
    }
  }
}