{
  "id": "1202.0420",
  "version": "v1",
  "published": "2012-02-02T12:40:11.000Z",
  "updated": "2012-02-02T12:40:11.000Z",
  "title": "Coarse Ricci curvature for continuous-time Markov processes",
  "authors": [
    "Laurent Veysseire"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "The coarse Ricci curvature for Markov chains is generalized for continuous time. We show that a positive coarse Ricci curvature implies a contraction of the Markov process for the Wasserstein distance between probability measures. This leads to a spectral gap estimate in the reversible case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-02-02T12:40:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "continuous-time markov processes",
      "positive coarse ricci curvature implies",
      "spectral gap estimate",
      "wasserstein distance",
      "probability measures"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1202.0420V"
    }
  }
}