{
  "id": "0809.4406",
  "version": "v2",
  "published": "2008-09-25T14:12:39.000Z",
  "updated": "2009-03-14T01:27:43.000Z",
  "title": "On ergodic transformations that are both weakly mixing and uniformly rigid",
  "authors": [
    "Jennifer James",
    "Thomas Koberda",
    "Kathryn Lindsey",
    "Cesar E. Silva",
    "Peter Speh"
  ],
  "comment": "Revised version after referee's report",
  "categories": [
    "math.DS"
  ],
  "abstract": "We examine some of the properties of uniformly rigid transformations, and analyze the compatibility of uniform rigidity and (measurable) weak mixing along with some of their asymptotic convergence properties. We show that on Cantor space, there does not exist a finite measure-preserving, totally ergodic, uniformly rigid transformation. We briefly discuss general group actions and show that (measurable) weak mixing and uniform rigidity can coexist in a more general setting.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-03-14T01:27:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A05"
    ],
    "keywords": [
      "ergodic transformations",
      "weakly mixing",
      "uniformly rigid transformation",
      "uniform rigidity",
      "asymptotic convergence properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0809.4406J"
    }
  }
}