{
  "id": "2104.07503",
  "version": "v1",
  "published": "2021-04-15T14:56:29.000Z",
  "updated": "2021-04-15T14:56:29.000Z",
  "title": "The Burton-Steif correspondence: Statistical mechanics at the service of symbolic dynamics",
  "authors": [
    "Luis Armando Corona",
    "Raul Salgado-Garcia",
    "Edgardo Ugalde"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "Robert Burton and Jeffrey Steif developed a strategy to construct examples of strongly irreducible subshifts of finite type admitting several measures of maximal entropy. This strategy exploits a correspondence between equilibrium statistical mechanics and symbolic dynamics. In this paper, we study this correspondence, which in the cases we consider gives place to an isomorphism between a simplex of measures of maximal entropy of a strongly irreducible subshift of finite type and a simplex of equilibrium states of the corresponding statistical mechanics model. We illustrate this correspondence by using the Potts model and a model of our own, inspired by the vertex models in statistical mechanics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-04-15T14:56:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "symbolic dynamics",
      "burton-steif correspondence",
      "maximal entropy",
      "strongly irreducible subshift",
      "finite type"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}