{ "id": "1112.4996", "version": "v1", "published": "2011-12-21T11:48:13.000Z", "updated": "2011-12-21T11:48:13.000Z", "title": "A note on stochastic calculus in vector bundles", "authors": [ "Pedro J. Catuogno", "Diego S. Ledesma", "Paulo R. Ruffino" ], "comment": "11 pages", "categories": [ "math.DG" ], "abstract": "The aim of these notes is to relate covariant stochastic integration in a vector bundle $E$ (as in Norris \\cite{Norris}) with the usual Stratonovich calculus via the connector $\\K:TE \\rightarrow E$ (cf. e.g. Paterson \\cite{Paterson} or Poor \\cite{Poor}) which carries the connection dependence.", "revisions": [ { "version": "v1", "updated": "2011-12-21T11:48:13.000Z" } ], "analyses": { "keywords": [ "vector bundle", "stochastic calculus", "relate covariant stochastic integration", "usual stratonovich calculus", "connection dependence" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1112.4996C" } } }