{ "id": "1111.3257", "version": "v2", "published": "2011-11-14T15:59:32.000Z", "updated": "2011-11-20T01:44:08.000Z", "title": "Stochastic Calculus for Markov Processes Associated with Non-symmetric Dirichlet Forms", "authors": [ "Chuan-Zhong Chen", "Li Ma", "Wei Sun" ], "comment": "An additional note has been added between the Acknowledgments part and the References part on page 11", "categories": [ "math.PR" ], "abstract": "Nakao's stochastic integrals for continuous additive functionals of zero energy are extended from the symmetric Dirichlet forms setting to the non-symmetric Dirichlet forms setting. Ito's formula in terms of the extended stochastic integrals is obtained.", "revisions": [ { "version": "v2", "updated": "2011-11-20T01:44:08.000Z" } ], "analyses": { "subjects": [ "31C25", "60J25" ], "keywords": [ "markov processes", "stochastic calculus", "nakaos stochastic integrals", "itos formula", "non-symmetric dirichlet forms setting" ], "tags": [ "journal article" ], "publication": { "doi": "10.1007/s11425-012-4517-5", "journal": "Science in China A: Mathematics", "year": 2012, "month": "Nov", "volume": 55, "number": 11, "pages": 2195 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012ScChA..55.2195C" } } }