{ "id": "1605.02897", "version": "v1", "published": "2016-05-10T09:16:37.000Z", "updated": "2016-05-10T09:16:37.000Z", "title": "Variable transforms in stochastic differential equations", "authors": [ "Dietrich Ryter" ], "comment": "Replaces 1510.01247 1405.3066 1403.1060 1308.4515", "categories": [ "math-ph", "math.MP" ], "abstract": "A state-dependence of the coupling with the noise can always be removed by a change of the variables. This excludes a free choice of the integration sense. The inverse transform by the Ito formula entails the Stratonovich sense, when a drift is absent or transforms as a tensor.", "revisions": [ { "version": "v1", "updated": "2016-05-10T09:16:37.000Z" } ], "analyses": { "keywords": [ "stochastic differential equations", "variable transforms", "ito formula entails", "integration sense", "stratonovich sense" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }