{
  "id": "2306.13898",
  "version": "v1",
  "published": "2023-06-24T08:13:19.000Z",
  "updated": "2023-06-24T08:13:19.000Z",
  "title": "An upper bound for the box dimension of the hyperbolic dynamics via unstable pressure",
  "authors": [
    "Congcong Qu"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "In this paper, we utilize the sub-additive unstable pressure to give an upper bound for the upper box dimension of the $C^1$ hyperbolic set on unstable manifolds. As a by-product, we give a new expression of the topological pressure. This work is inspired by \\cite{FS, WCZ, CliPZ}.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-06-24T08:13:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "upper bound",
      "unstable pressure",
      "hyperbolic dynamics",
      "upper box dimension",
      "hyperbolic set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}