{
  "id": "2003.08762",
  "version": "v1",
  "published": "2020-03-19T13:23:44.000Z",
  "updated": "2020-03-19T13:23:44.000Z",
  "title": "Prevalent uniqueness in ergodic optimisation",
  "authors": [
    "Ian D. Morris"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "One of the fundamental results of ergodic optimisation asserts that for any dynamical system on a compact metric space $X$ and for any Banach space of continuous real-valued functions on $X$ which embeds densely in $C(X)$ there exists a residual set of functions in that Banach space for which the maximising measure is unique. We extend this result by showing that this residual set is additionally prevalent, answering a question of J. Bochi and Y. Zhang.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-19T13:23:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "prevalent uniqueness",
      "residual set",
      "banach space",
      "ergodic optimisation asserts",
      "compact metric space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}