{ "id": "1202.1798", "version": "v1", "published": "2012-02-08T19:28:12.000Z", "updated": "2012-02-08T19:28:12.000Z", "title": "A strong uniform approximation of sub-fractional Brownian motion", "authors": [ "Johanna Garzon", "Luis G. Gorostiza", "Jorge A. Leon" ], "categories": [ "math.PR" ], "abstract": "Sub-fractional Brownian motion is a process analogous to fractional Brownian motion but without stationary increments. In \\cite{GGL1} we proved a strong uniform approximation with a rate of convergence for fractional Brownian motion by means of transport processes. In this paper we prove a similar type of approximation for sub-fractional Brownian motion.", "revisions": [ { "version": "v1", "updated": "2012-02-08T19:28:12.000Z" } ], "analyses": { "subjects": [ "60F15", "60G15", "60G18" ], "keywords": [ "sub-fractional brownian motion", "strong uniform approximation", "stationary increments", "transport processes", "similar type" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1202.1798G" } } }