{ "id": "1509.01776", "version": "v1", "published": "2015-09-06T07:06:45.000Z", "updated": "2015-09-06T07:06:45.000Z", "title": "Weak Approximation of Reflected Diffusions on The Positive Half-Line by Solutions of SDE", "authors": [ "Cameron Bruggeman", "Andrey Sarantsev" ], "comment": "19 pages. Keywords: stochastic differential equations, reflected diffusions, weak convergence, scale function", "categories": [ "math.PR" ], "abstract": "Consider a reflected diffusion on the positive half-line. We approximate it by diffusion processes: We emulate the \"hard barrier\" of reflection by a \"soft barrier\" of a drift coefficient.", "revisions": [ { "version": "v1", "updated": "2015-09-06T07:06:45.000Z" } ], "analyses": { "subjects": [ "60J60", "60J55", "60J65", "60H10" ], "keywords": [ "positive half-line", "reflected diffusion", "weak approximation", "drift coefficient", "diffusion processes" ], "note": { "typesetting": "TeX", "pages": 19, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150901776B" } } }