{
  "id": "1105.3839",
  "version": "v2",
  "published": "2011-05-19T10:49:59.000Z",
  "updated": "2013-07-25T08:52:15.000Z",
  "title": "Random fields and the geometry of Wiener space",
  "authors": [
    "Jonathan E. Taylor",
    "Sreekar Vadlamani"
  ],
  "comment": "Published in at http://dx.doi.org/10.1214/11-AOP730 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)",
  "journal": "Annals of Probability 2013, Vol. 41, No. 4, 2724-2754",
  "doi": "10.1214/11-AOP730",
  "categories": [
    "math.PR"
  ],
  "abstract": "In this work we consider infinite dimensional extensions of some finite dimensional Gaussian geometric functionals called the Gaussian Minkowski functionals. These functionals appear as coefficients in the probability content of a tube around a convex set $D\\subset\\mathbb{R}^k$ under the standard Gaussian law $N(0,I_{k\\times k})$. Using these infinite dimensional extensions, we consider geometric properties of some smooth random fields in the spirit of [Random Fields and Geometry (2007) Springer] that can be expressed in terms of reasonably smooth Wiener functionals.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-07-25T08:52:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "random fields",
      "wiener space",
      "infinite dimensional extensions",
      "finite dimensional gaussian geometric functionals",
      "gaussian minkowski functionals"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1105.3839T"
    }
  }
}