{
  "id": "2103.11449",
  "version": "v1",
  "published": "2021-03-21T17:53:00.000Z",
  "updated": "2021-03-21T17:53:00.000Z",
  "title": "Generalized Grassmann algebras and applications to stochastic processes",
  "authors": [
    "Daniel Alpay",
    "Paula Cerejeiras",
    "Uwe Kähler"
  ],
  "categories": [
    "math.FA",
    "math-ph",
    "math.MP",
    "math.PR"
  ],
  "abstract": "In this paper we present the groundwork for an It\\^o/Malliavin stochastic calculus and Hida's white noise analysis in the context of a supersymmentry with Z3-graded algebras. To this end we establish a ternary Fock space and the corresponding strong algebra of stochastic distributions and present its application in the study of stochastic processes in this context.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-21T17:53:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30G35",
      "60H45",
      "60G22",
      "15A75"
    ],
    "keywords": [
      "generalized grassmann algebras",
      "stochastic processes",
      "application",
      "hidas white noise analysis",
      "ternary fock space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}