{ "id": "1805.04040", "version": "v1", "published": "2018-05-10T16:12:52.000Z", "updated": "2018-05-10T16:12:52.000Z", "title": "On the supremum of products of symmetric stable processes", "authors": [ "Christophe Profeta" ], "categories": [ "math.PR" ], "abstract": "We study the asymptotics, for small and large values, of the supremum of a product of symmetric stable processes. We show in particular that the persistence exponent remains the same as for only one process, up to some logarithmic terms.", "revisions": [ { "version": "v1", "updated": "2018-05-10T16:12:52.000Z" } ], "analyses": { "subjects": [ "60G52", "60J65" ], "keywords": [ "symmetric stable processes", "persistence exponent remains", "large values", "logarithmic terms", "asymptotics" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }