{
  "id": "1004.1197",
  "version": "v2",
  "published": "2010-04-07T21:56:41.000Z",
  "updated": "2010-04-12T08:40:15.000Z",
  "title": "A random string with reflection in a convex domain",
  "authors": [
    "Said Bounebache"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We study the motion of a random string in a convex domain $O$ in $\\R^d$, namely the solution of a vector-valued stochastic heat equation, confined in the closure of $O$ and reflected at the boundary of $O$. We study the structure of the reflection measure by computing its Revuz measure in terms of an infinite-dimensional integration by parts formula. Our method exploits recent results on weak convergence of Markov processes with log-concave invariant measures.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-04-12T08:40:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60H07",
      "60H15",
      "60J55"
    ],
    "keywords": [
      "convex domain",
      "random string",
      "log-concave invariant measures",
      "vector-valued stochastic heat equation",
      "weak convergence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1004.1197B"
    }
  }
}