{ "id": "1808.01073", "version": "v1", "published": "2018-08-03T02:55:59.000Z", "updated": "2018-08-03T02:55:59.000Z", "title": "Improved Hölder continuity near the boundary of one-dimensional super-Brownian motion", "authors": [ "Jieliang Hong" ], "categories": [ "math.PR" ], "abstract": "We show that the local time of one-dimensional super-Brownian motion is locally $\\gamma$-H\\\"older continuous near the boundary if $0<\\gamma<3$ and fails to be locally $\\gamma$-H\\\"older continuous if $\\gamma>3$.", "revisions": [ { "version": "v1", "updated": "2018-08-03T02:55:59.000Z" } ], "analyses": { "subjects": [ "60J68" ], "keywords": [ "one-dimensional super-brownian motion", "hölder continuity", "local time" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }