{
  "id": "0704.1564",
  "version": "v1",
  "published": "2007-04-12T11:46:40.000Z",
  "updated": "2007-04-12T11:46:40.000Z",
  "title": "Entropy of eigenfunctions",
  "authors": [
    "Nalini Anantharaman",
    "Herbert Koch",
    "Stéphane Nonnenmacher"
  ],
  "categories": [
    "math-ph",
    "math.DS",
    "math.MP",
    "nlin.CD"
  ],
  "abstract": "We study the high--energy limit for eigenfunctions of the laplacian, on a compact negatively curved manifold. We review the recent result of Anantharaman-Nonnenmacher giving a lower bound on the Kolmogorov-Sinai entropy of semiclassical measures, and improve this lower bound in the case of variable negative curvature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-04-12T11:46:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81Q50",
      "81Q20",
      "37D40",
      "37D35"
    ],
    "keywords": [
      "eigenfunctions",
      "lower bound",
      "high-energy limit",
      "compact negatively curved manifold",
      "kolmogorov-sinai entropy"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0704.1564A"
    }
  }
}