{
  "id": "1607.04092",
  "version": "v1",
  "published": "2016-07-14T11:27:38.000Z",
  "updated": "2016-07-14T11:27:38.000Z",
  "title": "Spatial asymptotics for the parabolic Anderson model driven by a Gaussian rough noise",
  "authors": [
    "Xia Chen",
    "Yaozhong Hu",
    "David Nualart",
    "Samy Tindel"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "The aim of this paper is to establish the almost sure asymptotic behavior as the space variable becomes large, for the solution to the one spatial dimensional stochastic heat equation driven by a Gaussian noise which is white in time and which has the covariance structure of a fractional Brownian motion with Hurst parameter greater than 1/4 and less than 1/2 in the space variable.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-07-14T11:27:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G15",
      "60H07",
      "60H10",
      "65C30"
    ],
    "keywords": [
      "parabolic anderson model driven",
      "gaussian rough noise",
      "spatial asymptotics",
      "spatial dimensional stochastic heat equation",
      "dimensional stochastic heat equation driven"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}