{ "id": "1401.7316", "version": "v1", "published": "2014-01-28T20:29:57.000Z", "updated": "2014-01-28T20:29:57.000Z", "title": "Moderate Deviation Principles for Stochastic Differential Equations with Jumps", "authors": [ "Amarjit Budhiraja", "Paul Dupuis", "Arnab Ganguly" ], "comment": "53 pages. arXiv admin note: text overlap with arXiv:1211.0466 by other authors", "categories": [ "math.PR" ], "abstract": "Moderate deviation principles for stochastic differential equations driven by a Poisson random measure (PRM) in finite and infinite dimensions are obtained. Proofs are based on a variational representation for expected values of positive functionals of a PRM.", "revisions": [ { "version": "v1", "updated": "2014-01-28T20:29:57.000Z" } ], "analyses": { "subjects": [ "60F10", "60H15", "60J75", "60J25" ], "keywords": [ "moderate deviation principles", "stochastic differential equations driven", "poisson random measure", "variational representation", "infinite dimensions" ], "note": { "typesetting": "TeX", "pages": 53, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1401.7316B" } } }