{
  "titles": [
    {
      "title": "Ramification of rough paths"
    }
  ],
  "creators": [
    {
      "name": "Gubinelli, M.",
      "nameType": "Personal",
      "familyName": "Gubinelli",
      "givenName": "M."
    }
  ],
  "publisher": {
    "name": "Papers of Massimiliano Gubinelli"
  },
  "publicationYear": 2006,
  "types": {
    "resourceTypeGeneral": "Preprint"
  },
  "version": "1",
  "url": "https://arxiv.org/abs/math/0610300v1",
  "dates": [
    {
      "date": "2006-10-09",
      "dateType": "Issued"
    },
    {
      "date": "2006-10-09",
      "dateType": "Available"
    }
  ],
  "language": "en",
  "formats": [
    "application/pdf",
    "application/x-tex"
  ],
  "subjects": [
    {
      "subject": "math.CA",
      "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": "The stack of iterated integrals of a path is embedded in a larger algebraic structure where iterated integrals are indexed by decorated rooted trees and where an extended Chen's multiplicative property involves the Dürr-Connes-Kreimer coproduct on rooted trees. This turns out to be the natural setting for a non-geometric theory of rough paths.",
      "descriptionType": "Abstract"
    }
  ],
  "relatedIdentifiers": [
    {
      "relatedIdentifier": "arXiv:math/0610300v1",
      "relatedIdentifierType": "arXiv",
      "relationType": "IsIdenticalTo"
    },
    {
      "relatedIdentifier": "10.48550/arXiv.math/0610300",
      "relatedIdentifierType": "DOI",
      "relationType": "IsVersionOf"
    }
  ]
}