{ "id": "1212.3548", "version": "v2", "published": "2012-12-14T18:03:29.000Z", "updated": "2013-10-16T09:13:22.000Z", "title": "Quasi-stationary distributions associated with explosive CSBP", "authors": [ "Cyril Labbé" ], "comment": "13 pages", "journal": "Electronic Communications in Probability 18, 57 (2013) 1-13", "doi": "10.1214/ECP.v18-2508", "categories": [ "math.PR" ], "abstract": "We characterise all the quasi-stationary distributions and the Q-process associated with a continuous state branching process that explodes in finite time. We also provide a rescaling for the continuous state branching process conditioned on non-explosion when the branching mechanism is regularly varying at 0.", "revisions": [ { "version": "v2", "updated": "2013-10-16T09:13:22.000Z" } ], "analyses": { "subjects": [ "60J80", "60F05" ], "keywords": [ "quasi-stationary distributions", "explosive csbp", "finite time", "continuous state branching process" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1212.3548L" } } }