{
  "titles": [
    {
      "title": "A simple construction of the sine-Gordon model via stochastic quantization"
    }
  ],
  "creators": [
    {
      "name": "Gubinelli, Massimiliano",
      "nameType": "Personal",
      "familyName": "Gubinelli",
      "givenName": "Massimiliano"
    },
    {
      "name": "Hairer, Martin",
      "nameType": "Personal",
      "familyName": "Hairer",
      "givenName": "Martin"
    },
    {
      "name": "Oh, Tadahiro",
      "nameType": "Personal",
      "familyName": "Oh",
      "givenName": "Tadahiro"
    },
    {
      "name": "Zine, Younes",
      "nameType": "Personal",
      "familyName": "Zine",
      "givenName": "Younes"
    }
  ],
  "publisher": {
    "name": "Papers of Massimiliano Gubinelli"
  },
  "publicationYear": 2024,
  "types": {
    "resourceTypeGeneral": "Preprint"
  },
  "version": "1",
  "url": "https://arxiv.org/abs/2412.16404v1",
  "dates": [
    {
      "date": "2024-12-20",
      "dateType": "Issued"
    },
    {
      "date": "2024-12-20",
      "dateType": "Available"
    }
  ],
  "language": "en",
  "formats": [
    "application/pdf",
    "application/x-tex"
  ],
  "subjects": [
    {
      "subject": "math.PR",
      "subjectScheme": "arXiv"
    },
    {
      "subject": "math-ph",
      "subjectScheme": "arXiv"
    },
    {
      "subject": "math.AP",
      "subjectScheme": "arXiv"
    },
    {
      "subject": "math.MP",
      "subjectScheme": "arXiv"
    }
  ],
  "rightsList": [
    {
      "rights": "Creative Commons Attribution 4.0 International",
      "rightsIdentifier": "cc-by-4.0",
      "rightsUri": "http://creativecommons.org/licenses/by/4.0/",
      "rightsIdentifierScheme": "SPDX"
    }
  ],
  "descriptions": [
    {
      "description": "We present a simple PDE construction of the sine-Gordon measure below the first threshold (${\\beta}^2 < 4\\pi$), in both the finite and infinite volume settings, by studying the corresponding parabolic sine-Gordon model. We also establish pathwise global well-posedness of the hyperbolic sine-Gordon model in finite volume for ${\\beta}^2 < 2\\pi$.",
      "descriptionType": "Abstract"
    }
  ],
  "relatedIdentifiers": [
    {
      "relatedIdentifier": "arXiv:2412.16404v1",
      "relatedIdentifierType": "arXiv",
      "relationType": "IsIdenticalTo"
    },
    {
      "relatedIdentifier": "10.48550/arXiv.2412.16404",
      "relatedIdentifierType": "DOI",
      "relationType": "IsVersionOf"
    }
  ]
}