{ "id": "2205.11877", "version": "v1", "published": "2022-05-24T07:52:20.000Z", "updated": "2022-05-24T07:52:20.000Z", "title": "Asymptotic Distribution of Brownian Excursions into an Interval", "authors": [ "Rajeev Bhaskaran" ], "categories": [ "math.PR" ], "abstract": "In this paper, following earlier results in [2] we derive the asymptotic distribution as $t \\to \\infty$, of the excursion of Brownian motion straddling $t$, into an interval $(a,b)$, conditional on the event that there is such an excursion.", "revisions": [ { "version": "v1", "updated": "2022-05-24T07:52:20.000Z" } ], "analyses": { "keywords": [ "asymptotic distribution", "brownian excursions", "earlier results", "brownian motion straddling" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }