{
  "id": "1901.11488",
  "version": "v1",
  "published": "2019-01-30T08:51:53.000Z",
  "updated": "2019-01-30T08:51:53.000Z",
  "title": "Weak Gibbs and Equilibrium Measures for Shift Spaces",
  "authors": [
    "C. -E. Pfister",
    "W. G. Sullivan"
  ],
  "categories": [
    "math.DS",
    "cond-mat.stat-mech"
  ],
  "abstract": "For a large class of irreducible shift spaces $X\\subset\\tA^{\\Z^d}$, with $\\tA$ a finite alphabet, and for absolutely summable potentials $\\Phi$, we prove that equilibrium measures for $\\Phi$ are weak Gibbs measures. In particular, for $d=1$, the result holds for irreducible sofic shifts.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-01-30T08:51:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "equilibrium measures",
      "weak gibbs measures",
      "large class",
      "result holds",
      "irreducible shift spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}