{
  "titles": [
    {
      "title": "Gibbs measures for self-interacting Wiener paths"
    }
  ],
  "creators": [
    {
      "name": "Gubinelli, M.",
      "nameType": "Personal",
      "familyName": "Gubinelli",
      "givenName": "M."
    }
  ],
  "publisher": {
    "name": "Papers of Massimiliano Gubinelli"
  },
  "publicationYear": 2005,
  "types": {
    "resourceTypeGeneral": "Preprint"
  },
  "version": "2",
  "url": "https://arxiv.org/abs/math-ph/0511068v2",
  "dates": [
    {
      "date": "2005-11-22",
      "dateType": "Issued"
    },
    {
      "date": "2006-03-07",
      "dateType": "Available"
    }
  ],
  "language": "en",
  "formats": [
    "application/pdf",
    "application/x-tex"
  ],
  "subjects": [
    {
      "subject": "math-ph",
      "subjectScheme": "arXiv"
    },
    {
      "subject": "math.MP",
      "subjectScheme": "arXiv"
    }
  ],
  "rightsList": [
    {
      "rights": "arXiv.org non-exclusive license to distribute, assumed for submissions of 1991-2003; all other rights reserved to the authors",
      "rightsUri": "http://arxiv.org/licenses/assumed-1991-2003/"
    }
  ],
  "descriptions": [
    {
      "description": "In this note we study a class of specifications over $d$-dimensional Wiener measure which are invariant under uniform translation of the paths. This degeneracy is removed by restricting the measure to the $\\sigma$-algebra generated by the increments of the coordinate process. We address the problem of existence and uniqueness of Gibbs measures and prove a central limit theorem for the rescaled increments. These results apply to the study of the ground state of the Nelson model of a quantum particle interacting with a scalar boson field.",
      "descriptionType": "Abstract"
    }
  ],
  "relatedIdentifiers": [
    {
      "relatedIdentifier": "arXiv:math-ph/0511068v2",
      "relatedIdentifierType": "arXiv",
      "relationType": "IsIdenticalTo"
    },
    {
      "relatedIdentifier": "10.48550/arXiv.math-ph/0511068",
      "relatedIdentifierType": "DOI",
      "relationType": "IsVersionOf"
    }
  ]
}