{
  "id": "2211.16413",
  "version": "v1",
  "published": "2022-11-29T17:37:52.000Z",
  "updated": "2022-11-29T17:37:52.000Z",
  "title": "Minimal Dynamical System for $\\mathbb{R}^n$",
  "authors": [
    "Ankit Vishnubhotla"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We investigate $\\mathbb{R}^n$ as the additive group with the Euclidean topology to give a description of $S(\\mathbb{R}^n)$, the phase space of the universal ambit of $\\mathbb{R}^n$ and $M(\\mathbb{R}^n)$, the phase space of the universal minimal dynamical system, in terms of $M(\\mathbb{Z}^n)$, the phase space of universal minimal flow of $\\mathbb{Z}^n$. This extends work by Turek for $\\mathbb{R}$ to $\\mathbb{R}^n$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-11-29T17:37:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "phase space",
      "universal minimal dynamical system",
      "universal minimal flow",
      "euclidean topology",
      "universal ambit"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}