{
  "id": "1212.6304",
  "version": "v1",
  "published": "2012-12-27T05:21:19.000Z",
  "updated": "2012-12-27T05:21:19.000Z",
  "title": "Scaling behaviour in probabilistic neuronal cellular automata",
  "authors": [
    "Kaustubh Manchanda",
    "Avinash Chand Yadav",
    "Ramakrishna Ramaswamy"
  ],
  "comment": "7 pages, 4 figures Accepted for publication in Physical Review E",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn",
    "nlin.AO"
  ],
  "abstract": "We study a neural network model of interacting stochastic discrete two--state cellular automata on a regular lattice. The system is externally tuned to a critical point which varies with the degree of stochasticity (or the effective temperature). There are avalanches of neuronal activity, namely spatially and temporally contiguous sites of activity; a detailed numerical study of these activity avalanches is presented, and single, joint and marginal probability distributions are computed. At the critical point, we find that the scaling exponents for the variables are in good agreement with a mean--field theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-12-27T05:21:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "87.19.lj",
      "05.65.+b",
      "05.70.Fh",
      "05.70.Jk"
    ],
    "keywords": [
      "probabilistic neuronal cellular automata",
      "scaling behaviour",
      "stochastic discrete two-state cellular automata",
      "interacting stochastic discrete two-state cellular",
      "neural network model"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1103/PhysRevE.87.012704",
      "journal": "Physical Review E",
      "year": 2013,
      "month": "Jan",
      "volume": 87,
      "number": 1,
      "pages": "012704"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013PhRvE..87a2704M"
    }
  }
}