{
  "id": "2210.15004",
  "version": "v1",
  "published": "2022-10-26T19:57:39.000Z",
  "updated": "2022-10-26T19:57:39.000Z",
  "title": "Measure-theoretic sequence entropy pairs and mean sensitivity",
  "authors": [
    "Felipe García-Ramos",
    "Victor Muñoz-López"
  ],
  "comment": "12 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "We characterize measure-theoretic sequence entropy pairs of continuous abelian group actions using mean sensitivity. This solves an open question mentioned by Li and Yu. As a consequence of our results we provide a simpler characterization of Kerr and Li's independence sequence entropy pairs ($\\mu$-IN-pairs) when the measure is ergodic and the group is abelian.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-10-26T19:57:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A35",
      "37B05"
    ],
    "keywords": [
      "mean sensitivity",
      "lis independence sequence entropy pairs",
      "characterize measure-theoretic sequence entropy pairs",
      "continuous abelian group actions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}