{ "id": "1010.3819", "version": "v1", "published": "2010-10-19T07:26:28.000Z", "updated": "2010-10-19T07:26:28.000Z", "title": "A transformation for Lévy processes with one-sided jumps and applications", "authors": [ "Marie Chazal", "Andreas E. Kyprianou", "Pierre Patie" ], "categories": [ "math.PR" ], "abstract": "The aim of this work is to extend and study a family of transformations between Laplace exponents of L\\'evy processes which have been introduced recently in a variety of different contexts by Patie, Kyprianou and Patie, and, Gnedin, as well as in older work of Urbanik . We show how some specific instances of this mapping prove to be useful for a variety of applications.", "revisions": [ { "version": "v1", "updated": "2010-10-19T07:26:28.000Z" } ], "analyses": { "subjects": [ "60G51", "60G18", "33C20" ], "keywords": [ "lévy processes", "one-sided jumps", "transformation", "applications", "laplace exponents" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1010.3819C" } } }