{ "id": "1201.2716", "version": "v2", "published": "2012-01-13T00:43:16.000Z", "updated": "2013-12-11T09:22:14.000Z", "title": "Integrability properties and limit theorems for the exit time from a cone of planar Brownian motion", "authors": [ "Stavros Vakeroudis", "Marc Yor" ], "comment": "Published in at http://dx.doi.org/10.3150/12-BEJ438 the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statistical Institute/Bernoulli Society (http://isi.cbs.nl/BS/bshome.htm)", "journal": "Bernoulli 2013, Vol. 19, No. 5A, 2000-2009", "doi": "10.3150/12-BEJ438", "categories": [ "math.PR", "math.ST", "stat.TH" ], "abstract": "We obtain some integrability properties and some limit theorems for the exit time from a cone of a planar Brownian motion, and we check that our computations are correct via Bougerol's identity.", "revisions": [ { "version": "v2", "updated": "2013-12-11T09:22:14.000Z" } ], "analyses": { "keywords": [ "planar brownian motion", "limit theorems", "exit time", "integrability properties", "bougerols identity" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1201.2716V" } } }