{ "id": "1406.2013", "version": "v2", "published": "2014-06-08T19:01:28.000Z", "updated": "2014-10-14T14:09:57.000Z", "title": "New criteria for Hunt's hypothesis (H) of Levy processes", "authors": [ "Wei Sun" ], "categories": [ "math.PR" ], "abstract": "Novel necessary and sufficient conditions are presented for the validity of Hunt's hypothesis (H) of L\\'evy processes. As applications, new examples of L\\'evy processes satisfying (H) are obtained. Moreover, it is shown that a general class of pure jump subordinators can be decomposed into the summation of two independent subordinators satisfying (H).", "revisions": [ { "version": "v1", "updated": "2014-06-08T19:01:28.000Z", "abstract": "In this paper, we present novel necessary and sufficient conditions for the validity of Hunt's hypothesis (H) of Levy processes. Based on these criteria, we obtain new examples of Levy processes satisfying (H).", "comment": null, "journal": null, "doi": null }, { "version": "v2", "updated": "2014-10-14T14:09:57.000Z" } ], "analyses": { "subjects": [ "60J45", "60G51" ], "keywords": [ "hunts hypothesis", "novel necessary", "sufficient conditions", "levy processes satisfying" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1406.2013S" } } }