{
  "id": "1512.05992",
  "version": "v1",
  "published": "2015-12-18T15:29:55.000Z",
  "updated": "2015-12-18T15:29:55.000Z",
  "title": "Borell's formula for a Riemannian manifold and applications",
  "authors": [
    "Joseph Lehec"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "Borell's formula is a stochastic variational formula for the log-Laplace transform of a function of a Gaussian vector. We establish an extension of this to the Riemannian setting and give a couple of applications, including a new proof of a convolution inequality on the sphere due to Carlen, Lieb and Loss.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-12-18T15:29:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "borells formula",
      "riemannian manifold",
      "applications",
      "stochastic variational formula",
      "log-laplace transform"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151205992L"
    }
  }
}