{ "id": "1802.02491", "version": "v1", "published": "2018-02-07T15:47:23.000Z", "updated": "2018-02-07T15:47:23.000Z", "title": "The law of a point process of Brownian excursions in a domain is determined by the law of its trace", "authors": [ "Wei Qian", "Wendelin Werner" ], "comment": "22 pages", "categories": [ "math.PR" ], "abstract": "We show the result that is stated in the title of the paper, which has consequences about decomposition of Brownian loop-soup clusters in two dimensions.", "revisions": [ { "version": "v1", "updated": "2018-02-07T15:47:23.000Z" } ], "analyses": { "keywords": [ "brownian excursions", "point process", "brownian loop-soup clusters", "consequences" ], "note": { "typesetting": "TeX", "pages": 22, "language": "en", "license": "arXiv", "status": "editable" } } }