{
  "id": "cond-mat/0311483",
  "version": "v1",
  "published": "2003-11-20T15:40:00.000Z",
  "updated": "2003-11-20T15:40:00.000Z",
  "title": "Phase-Transition in Binary Sequences with Long-Range Correlations",
  "authors": [
    "Shahar Hod",
    "Uri Keshet"
  ],
  "comment": "4 pages, 4 figures",
  "journal": "Phys. Rev. E 70, Rapid Communication, 015104 (2004).",
  "doi": "10.1103/PhysRevE.70.015104",
  "categories": [
    "cond-mat.stat-mech",
    "nlin.SI",
    "physics.bio-ph",
    "physics.data-an",
    "q-bio.GN"
  ],
  "abstract": "Motivated by novel results in the theory of correlated sequences, we analyze the dynamics of random walks with long-term memory (binary chains with long-range correlations). In our model, the probability for a unit bit in a binary string depends on the fraction of unities preceding it. We show that the system undergoes a dynamical phase-transition from normal diffusion, in which the variance D_L scales as the string's length L, into a super-diffusion phase (D_L ~ L^{1+|alpha|}), when the correlation strength exceeds a critical value. We demonstrate the generality of our results with respect to alternative models, and discuss their applicability to various data, such as coarse-grained DNA sequences, written texts, and financial data.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-11-20T15:40:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "long-range correlations",
      "binary sequences",
      "phase-transition",
      "correlation strength exceeds",
      "coarse-grained dna sequences"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}