{
  "id": "2403.01230",
  "version": "v1",
  "published": "2024-03-02T15:16:13.000Z",
  "updated": "2024-03-02T15:16:13.000Z",
  "title": "Projectional entropy for actions of amenable groups",
  "authors": [
    "Michał Prusik"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "In the current paper we attempt to transfer the notion of the projectional entropy, originally defined for multidimensional subshifts, to the case of actions of amenable groups. The main theorem states that if a system is strongly irreducible the equality of the entropy and the projectional entropy implies that the system has a product-like structure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-03-02T15:16:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B05",
      "37B40"
    ],
    "keywords": [
      "amenable groups",
      "main theorem states",
      "projectional entropy implies",
      "current paper",
      "multidimensional subshifts"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}