{ "id": "math/0211435", "version": "v2", "published": "2002-11-27T22:07:15.000Z", "updated": "2002-12-09T14:50:33.000Z", "title": "Super-Brownian motion with extra birth at one point", "authors": [ "Klaus Fleischmann", "Carl Mueller" ], "journal": "SIAM J. Math. Anal., 36, 3, 740-772, (2004)", "categories": [ "math.PR", "math-ph", "math.MP" ], "abstract": "A super-Brownian motion in two and three dimensions is constructed where \"particles\" give birth at a higher rate, if they approach the origin. Via a log-Laplace approach, the construction is based on Albeverio et al. (1995) who calculated the fundamental solutions of the heat equation with one-point potential in dimensions less than four.", "revisions": [ { "version": "v2", "updated": "2002-12-09T14:50:33.000Z" } ], "analyses": { "subjects": [ "60J80", "60K35" ], "keywords": [ "super-brownian motion", "extra birth", "one-point potential", "dimensions", "log-laplace approach" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2002math.....11435F" } } }