{
  "id": "1304.6995",
  "version": "v1",
  "published": "2013-04-25T19:55:00.000Z",
  "updated": "2013-04-25T19:55:00.000Z",
  "title": "Spectral Analysis of hypoelliptic random walks",
  "authors": [
    "Gilles Lebeau",
    "Laurent Michel"
  ],
  "doi": "10.1017/S1474748014000073",
  "categories": [
    "math.AP",
    "math.PR"
  ],
  "abstract": "We study the spectral theory of a reversible Markov chain associated to a hypoelliptic random walk on a manifold M. This random walk depends on a parameter h which is roughly the size of each step of the walk. We prove uniform bounds with respect to h on the rate of convergence to equilibrium, and the convergence when h goes to zero to the associated hypoelliptic diffusion.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-04-25T19:55:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hypoelliptic random walk",
      "spectral analysis",
      "random walk depends",
      "spectral theory",
      "reversible markov chain"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1304.6995L"
    }
  }
}