{
  "id": "1912.06299",
  "version": "v1",
  "published": "2019-12-13T02:42:27.000Z",
  "updated": "2019-12-13T02:42:27.000Z",
  "title": "Functional equations and martingales",
  "authors": [
    "Michael Mania",
    "Luka Tikanadze"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We consider functional equations (Cauchy's, Abel's, quadratic functional equations and others) and show that to find general solution of these equations is equivalent to establish that a spacetransformation of a Brownian Motion by suitable function (or functions) is a martingale.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-12-13T02:42:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "martingale",
      "quadratic functional equations",
      "general solution",
      "brownian motion"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}