{
  "id": "1104.1874",
  "version": "v1",
  "published": "2011-04-11T08:05:48.000Z",
  "updated": "2011-04-11T08:05:48.000Z",
  "title": "Heat kernel and the rate of mixing for compact extensions of expanding maps",
  "authors": [
    "Frédéric Naud"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We consider skew extensions of expanding maps by compact Lie groups. For a class of natural invariant measures, we prove an explicit lower bound on the rate of (exponential) mixing involving topological pressure. Proof uses representation theory and some elliptic pde estimates.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-04-11T08:05:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "expanding maps",
      "compact extensions",
      "heat kernel",
      "compact lie groups",
      "elliptic pde estimates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1104.1874N"
    }
  }
}