{ "id": "1307.0270", "version": "v2", "published": "2013-07-01T05:22:15.000Z", "updated": "2013-11-20T08:23:41.000Z", "title": "Barriers, exit time and survival probability for unimodal Lévy processes", "authors": [ "Krzysztof Bogdan", "Tomasz Grzywny", "Michał Ryznar" ], "comment": "33 pages, 1 figure, minor additions and editorial changes", "categories": [ "math.PR", "math.AP" ], "abstract": "We construct superharmonic functions and give sharp bounds for the expected exit time and probability of survival for isotropic unimodal L\\'evy processes", "revisions": [ { "version": "v2", "updated": "2013-11-20T08:23:41.000Z" } ], "analyses": { "subjects": [ "31B25", "60J50", "60J75", "60J35" ], "keywords": [ "unimodal lévy processes", "survival probability", "isotropic unimodal levy processes", "construct superharmonic functions", "sharp bounds" ], "note": { "typesetting": "TeX", "pages": 33, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1307.0270B" } } }