{
  "id": "2007.00035",
  "version": "v1",
  "published": "2020-06-30T18:04:42.000Z",
  "updated": "2020-06-30T18:04:42.000Z",
  "title": "The K-Property for Some Unique Equilibrium States in Flows and Homeomorphisms",
  "authors": [
    "Benjamin Call"
  ],
  "comment": "21 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "We set out some general criteria to prove the K-property, refining the assumptions used in arXiv:1906.09315 for the flow case, and introducing the analogous discrete-time result. We also introduce one-sided $\\lambda$-decompositions, as well as multiple techniques for checking the pressure gap required to show the K-property. We apply our results to the family of Ma\\~n\\'e diffeomorphisms and the Katok map. Our argument builds on the orbit decomposition theory of Climenhaga and Thompson.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-30T18:04:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D35",
      "37C40",
      "37D30"
    ],
    "keywords": [
      "unique equilibrium states",
      "k-property",
      "homeomorphisms",
      "orbit decomposition theory",
      "analogous discrete-time result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}